{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Chap7 Unsupervised Learning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Principle Components Analysis(PCA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:34:32.051415Z",
     "start_time": "2019-04-29T03:34:26.607Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t5647 obs. of  2 variables:\n",
      " $ CVX: num  0.0729 0.1021 0.0292 0.0583 0.0443 ...\n",
      " $ XOM: num  -0.017 0.017 0.085 0.068 0.0344 ...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>CVX</th><th scope=col>XOM</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.07292086 </td><td>-0.01699089</td></tr>\n",
       "\t<tr><td>0.10208921 </td><td> 0.01699089</td></tr>\n",
       "\t<tr><td>0.02916834 </td><td> 0.08495444</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       " CVX & XOM\\\\\n",
       "\\hline\n",
       "\t 0.07292086  & -0.01699089\\\\\n",
       "\t 0.10208921  &  0.01699089\\\\\n",
       "\t 0.02916834  &  0.08495444\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| CVX | XOM |\n",
       "|---|---|\n",
       "| 0.07292086  | -0.01699089 |\n",
       "| 0.10208921  |  0.01699089 |\n",
       "| 0.02916834  |  0.08495444 |\n",
       "\n"
      ],
      "text/plain": [
       "  CVX        XOM        \n",
       "1 0.07292086 -0.01699089\n",
       "2 0.10208921  0.01699089\n",
       "3 0.02916834  0.08495444"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp500_px <- read.csv('../psds_data/sp500_data.csv')\n",
    "oil_px <- sp500_px[, c('CVX', 'XOM')]\n",
    "str(oil_px)\n",
    "head(oil_px, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:35:25.037232Z",
     "start_time": "2019-04-29T03:35:24.994Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Call:\n",
       "princomp(x = oil_px)\n",
       "\n",
       "Standard deviations:\n",
       "   Comp.1    Comp.2 \n",
       "0.8820924 0.3007512 \n",
       "\n",
       " 2  variables and  5647 observations."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca <- princomp(oil_px)\n",
    "pca"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:35:28.318534Z",
     "start_time": "2019-04-29T03:35:28.280Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Loadings:\n",
       "    Comp.1 Comp.2\n",
       "CVX  0.747  0.665\n",
       "XOM  0.665 -0.747\n",
       "\n",
       "               Comp.1 Comp.2\n",
       "SS loadings       1.0    1.0\n",
       "Proportion Var    0.5    0.5\n",
       "Cumulative Var    0.5    1.0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca$loadings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:38:42.844815Z",
     "start_time": "2019-04-29T03:38:42.314Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAADAFBMVEUAAAABAQECAgIDAwME\nBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUW\nFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJyco\nKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6\nOjo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tM\nTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1e\nXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29w\ncHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGC\ngoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OU\nlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWm\npqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4\nuLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnK\nysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc\n3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u\n7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////i\nsF19AAAACXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nOydB1gT2dqAT3qhht5RsKFiodgL\n9goiYEEBK3ZRQyiCgEgREVBEFAVEZARBRLHXVbE37AV7o87df3fvdfu6/JnQQjIzSUiQEOe9\nz3WTmcnJZH13zpkz3/k+UEtA0AqAtj4BAtWEEIugVSDEImgVCLEIWgVCLIJWgRCLoFUgxCJo\nFQixCFqFFor1f7j893e0rZ9dOkz6hP9BdH77+t+WfAyTvxXa2s9f/1Boe79+UWhzf3z9SZHN\n/fQX/n55xYJx+eV31M3vRwGbR/ifROW32p9b8Clsviq0tR9r/1Boe1++KLS5P2t/VGRz//kH\nb291aZuIBVfOBhY3ZP8xhFhy8C3FejbK+Mc2EQuuCQCckzL/GEIsOfiGYmVxwIjqthELhjeS\n2ftl/TGEWHLwzcT66AsYYY1efXOx4L1MSqKMP4YQSw6+lVhnrEC3izDcdmLBJ3WAn2w/hhBL\nDr6NWFVhNJLPR7hNxYKvmALPSll+DCGWHHwTsUoHAP08wau2FAt+3AOM/yjDjyHEkoNvIVam\nFphUVveyTcWCXw0E9i+k/zGEWHLQ+mK98QDMmIY3bSsWXD4FdLwj9Y8hxJKDVhfrsAnoe7Px\nXRuLBVctAIY/SPtjCLHkoJXFqgggU/zKm963tVgwHENSK5DyxxBiyUHrinWtFzA/Kryh7cWC\nU2n0XdL9GEIsOWhNsWoS2cDlVbP9SiAWXKhBCpPqxxBiyUErivV8HNDcIbJfGcSCz+kD32op\njiPEkoPWEOvxyaLTz+ECQ+B4V3S/UogF37MGkz9LPowQSw5aQaybgQnb41d7kqgBVWL7lUMs\nuMwRDHkj8ShCLDlQvFgfebsgaKMJ6HQBZb+SiAV/GANsHko6iBBLDhQv1qMQKMebCno8QNuv\nLGLBVd7A/LqEYwix5EDxYj0OSbYBmmsCy9D2K41YSOyf9nH8Qwix5EDxYn1erQZsU5LzxQdY\nsDKJBcPJVPoe3AMIseRA4WK99QHUyUkxvCeo+5VJLHgfk7IZbz8hlhwoWqxrHYHNsR9OXnqL\nvl+pxIJP6QC/GuzdhFhyoFixKgMpJN9ynAOUSyz4mhmYWYG5lxBLDhQq1r1+wCgf9wglEwt+\n0hM4vcPaSYglB4oUa7sacMbpWRCUTSz43QjQ9znGPkIsOVCcWK+nAvVE/AWrSigWXD4VWN5C\n30WIJQcKE6vQGNjflrASWhnFgmtWAAO0hwSEWHKhILE++5GpfhWSltgrpVgwHENWO4C2nRBL\nDhQj1tWewFwwjd0uxYL3MKhbUTYTYsmBIsSqSWSB6e8FL9unWHCRBilAfCshlhwoQKxnY4BW\nQ7BvOxULLjEGC8Vi/wix5EB+sfbqgGGNESjtVSy4tBOY9ElkGyGWHMgr1idfQA9r+m+93YoF\nv+wHBr1uvokQSw7kFOusNegqvE6v/YoFfxwLujWPISPEkgO5xKqOodfl+mikHYsFV80BRpeE\nNxBiyYE8YpUOBHq5zTe1Z7FgOAxoC6+CJMSSAznEytQGI5+KbGvfYsEpVHpG0ztCLDlosVhv\npgFmjNgj53YuFgyxKHGNbwix5KClYp20BH1QEhG3tli/4fLn3/j7paBEDyz7tf7137V/yN2e\nMP8qtLXfa/9RaHt//aXQ5v6p/b0Fn/pvKIW87Ge0Pfj/8r7IK9Z/cfntL/z90vDQCnj+WPfy\nz9pf5W9PiH8V2tqX2r8V2t4ffyi0ub9r/yf7h+72AWYnUff87yvuB3+RVyz866H8XSGfp73A\n8LrAaqIrlIOWdIXbxXJ9NNLex1gI70eCPs+QF4RYciC7WC/GA41UrJ2qIBZc7g4skFxxhFhy\nILNYBUbA8Q7mXpUQC1nMqnOSEEsuZBTrsy9qro9GVEMsGI4ls3MJseRBNrFKugML3Jo0qiIW\nnMWgJBFiyYEsYtXE0BsC+rBQGbHgI5qkUEKsliODWE9HAt19Eo5RHbHgElMw/z8KbI8QC4Ms\nHeD0WNJBKiQW/LgnmCga+ycXhFgovPNBindJPEyVxIIrhgIH1GRMLYQQS5wzHUG3S5IPUy2x\nfvvDFXS5r7j2CLFEqQyj4ef6aES1xKr9cR4wvKiw9gixRCjtD/RRV3SKo2Ji/QyHkdSlLWQh\nEUKs5mxXB5OlHWqonFjwdhp9t4LaI8QS5o0bYMXgHyKE6okFH1QnRSimPUIsIYpMgB1GMhY0\nVFAs+KyedIUsJEKI1YigeBd2yjtxVFEs+K4VmCbVrYsElEes6tILFx+KxJV/S7Gu2QLzYzI1\np5Jiwc96g6EYSVVlQWnEqioOid8UfKq5WbKKVYkTiwDjioXk+nB5jbUXHdUUC/4wCtg8krs9\npRHralgOBGUH32u2UTaxyooh6DhGtKcAbLGejwWaO2X5LgQVFQuu9ALmKGtHZENpxDqcAvFJ\nONVso0xivc1L2JO56QBm6faaJ4/fYYweCgzBEInVZsRQVbGQ2D/OCTnbUxqxDqUiYiU1D4CS\nSayzsUgLUViTx+XFwfFxB9D0+eRLogW04FZIZcWC4Y1k1n752lMasc5H8a3ICb/WbKNMYhVt\nR8RKxqoZc279vqKj2/M+iO/oBLqI5uX8dO1sicRSbCosFpzNpCTI1Z7SiPUxP3pHauSh5rf7\nMol1bIugMz2NvrdyfwZUdHR/xG2R7TVIrg9R28ryIhOieZIeyaqyWIJCFvK0pzRiwR/OHzx0\nSaQUqExi3Q3OgqDMQIyx0mfuXkSs6OaXRPj+IKAHiR5bU5jAVzQ1T0JhUpUWC75qBjwrW96e\n8oiFhkxi1VwI2BDJu4y1Nz+FL1bO2uZZoTI5YIR4haU3vBzk4heKWoWwCdUWC37cA4zDvBOS\niAqJxe/Bbt3Gnm0oDUzJP7ChWHiQ/tYHLdcHDL/iIV5BYaX4X6fiYsGvBwK7Fy1tT6XEwude\nwdpjF4R7t1MdgE0J2pGVecgtagZPwgS0qosFl7uCDqJjUmn5jsTi/118FZogrQzALt5VGpiY\ntjUYVTohVF4suGY5MPhBfLM0fFdiCc+833MEpkcwj3xyvKD4noQaTN+BWIJCFvglzrD4XsVC\nine9lLO570EsOJVGT2tJe9+nWGUTgEai3M19F2LBh1ALWUjkuxSr0Ag4tHRQKsT3IRZ82bgl\nsX/foVhI8S68XB9S852IBd/rBCZLmCsW5/sT60oPYCHvo/s6vhex4JeOYIjEJ6cifG9iSZHr\nQ2q+G7HgD2OAjYxhRd+ZWC9GAy1FLXD6jsSCq3yAMdbDMnS+L7EO6YDh8kfdNvAdiYXE/mnL\ntCLgexLr03Kpcn1IzfckFgwnU+mZMrT3HYl11gp0lybXh9R8X2LB+5iUeOnbU1KxKt4KIv4U\nKFZVGI208FcFVbGv4zsTCz6tA/wkPeZqRCnFKj8P+UMXKxQpVukAoJ+roCr2DXxvYsHXzMFM\naVf0KqVYp8MzoPSw8woUK1MLTCpTUBX7Rr47seAntsDpnXTtKaNYr3l7IQja4/9eUWK98QBM\nJNcHIRY20mVNfj8C9H0uVXvKKNajUEEAZ/AzBYl12BT0RYovtAexnrv8nzKLBZe7AUup8qYo\no1hlgUjI+T7ea4WIVRFAIdcH9Cm/WL/7Oiu3WHDNSqB/XorjlFGs6sOxOVBO9NEaRYh1vRcw\nbyhRq/xibV+h7GIhsX9sKVIeKqNY8NuioPDAIx8UMXhvVrxL6cW6Nfe+8osFZzGoWyQepJRi\nwdXP7j1HpsjlFevFOKC5o+mtsov1s9e9V3ViHYmJidnyOy5//oO/X0b+rv1T6mNPa5FCJR3z\nr1xnI8oftQr+tX+39JOfHz+t/v2YEej/TGjj19o/FHBSTeD/y/tVVrH+jdpRWy9WqL29/Wgp\ndWwDHpuBFV/b+iTagn9vRyRsDvEmUSP+abuTaPpqKcU67/t7g1jlz549K/sJly9/4u+XkT9q\n/yfD0Q87g0mVuEd8le90RPil9i+Ftvfbb6Jbqj7+KMXn7q7blxdvBqwuNt/8V+3PCjoxAT/j\n/8trGixJKVaq85QpLs4uyQ3v8TvathtjIbzsDxxxs0sr5xirAdEx1oeTkH/uDcnPqw5vy/Gm\nAjvRxDNKPsb6z/v370ucHzV+Dr/1thUL/uwMuuJlTVFasd6WnCl5LyJW1eHorJydwZIn6Api\nbIAmN/GUyGYlFwvhVTu4K6yjai4wwgkWUVaxHuVGJ0Tlvmku1v0QZOZ0xwGJMVUhbGCbAkVe\nEdlMiIVNCwphhgGto5g7lVSsigNI5sjkw81/7PVo5FFPNldC/bO3PoDquiczrkB0aUk7EEsY\n/NbbXiw4hUZPx9qnpGI9CxY8LgxtvuzhbhiyMX0//tqt0x2BzeEiCDohtrCEEAubFpXuLVAn\nrcfYpaRiPQkRiLWueYzG5/wtELQ3HDdNRUPxrgqUpGGEWNi0rCb0GV2sxaxKKtYn/118r9IK\nRUR4VhASEXASL9astB8wwMxiQYiFTQuLjd/pCKaj/n0oqVjwjcCkHYmBj0Qf6VQ8voc7e7Jd\nDa94FyEWNi2tYv+0FxiGlkdMWcWCHx4vOP5IxmeFr92AOl6uD0IsbFoqFvx+JOiOUj5bacUS\nIJtYh4yBHW6uD0IsbFosFlzuASzEC1m0U7GenDl6QeSmr9yPTJVQvIsQC5uWiyUoZHFSdGP7\nFOt64ObkWN4z4U1XewJzrNoBDRBiYSOHWEghC3auyKZ2KdY73m7+PePWgqYbXaR413SJ60cI\nsbCRSyx4L4MiMrhtl2KVCiZKc3iNneGzMUBTioSGhFjYyCcWfERLJO9fuxar4TY3WwcMlSbL\nDiEWNnKKBV8xBbOE56TbpVjvm3WFn3yBlMW7CLGwkVcs+HF3MEHoIW67FAu+ERjfOHg/Zw26\nSJmLnBALG7nFgl8NAPZNk9PtUyz46dn66YZqpHiXtBVfCLGwkV8suHwK6NJYJaaditXA/YFA\nT/qKjYRY2ChALLhqPjBsqEOq7GJVPrrzBHv8lKmNVrwLE0IsbBQhFgzHkNQK6l4puVifD66N\nDC4STUb74u4jZM3822noxbswIcTCRjFiwdtp9F2CF8om1uvrJQ+arlC/HI/PgXJii5vZU348\nMGJt/jP4pCXoI1uxdUIsbBQkFlyoTgpH/qlkYt3gRcWuPdL4xO9daF16kGaPBc+vDQsIWJXJ\nxS7ehQUhFjaKEgs+pyeI/VMusV7yNscnpa9vLP1dtr4uoZFwOcaKvWu8ly+fogPMimVtnhAL\nG4WJBd+zRgpZKJdYFxd6zPbkRec1vP+8NgupSOkvvHrio48nlzueBhxlL95FiIWN4sSCyxzB\n0DfKJFZVefrENVzuUufdDaOsL5fCduekhTYsX3v38GkFXL3ee6k1oPfKkP0LCLGwUaBY8IfR\nwOaDwlpDkEesdyf35ywbzxeL67K9YduXny7u5+aW1K3KqfmBFxqc/xjOcFQDRlNWyNwREmLh\noUix4Epv0OG64pqTS6zygzEZmQsGuS1bMX9UozNfvsBV7xsuXzdCMiEoOe/FXBK525rwAKkS\nFjaHEAsbhYoliP2TFB0nC3KIdTOcfwO41n1hoH/o6nsNG5vNvBcgFcChFdbAaFZ4VOApWSaw\n6iHEwkaxYsFwOpWxR3GtySHW+Xi+NdsnL9qza8PhxgWpwmLVQBkQhOT6mP7+2ZUSGebbmyDE\nwkbRYn3NZlI2K6w1OcS6HItcj2LCoNxzTfeATWJ9/lhTmAyl9gbsTS0/PUIsbBQuFnxKB/gp\nqjUpxSq/U3JbNK9CGS8NgrJDr1ZUw68uHDtbl0y8QayXR7jcgtOBi9RB510y1/psghALG8WL\nBV81k76QhQSkE+tVflhsRF5THvrq26dOXq+4lRuxIfAkf6T+mLcxOT5AsI6rXqyPB+L3Zif7\nTQTUoUV4s1effzhYcAYn8p0QC5tWEAt+0hOMkLKQhQRExKq8fe6S+GCo+hAynNpS0CBz9bGQ\nxC1hhRXv7t5EZKvKT0ZW1+ciQVb1YpVs4G+J1ANdj73HG7JXFEbu2Bl7AHsGhRALm9YQC349\nCNi9kHSkNDQXq7wwND4u8KLoQa95OYLnNE/r398O2ccfla9vmAV9Vbc79AHcKNapRCh7BoU0\nQcKjwWvIjSUUcxbzAEIsbFpFLLh8KuiAu4ZYSpqLdSGS/xe9J1D0mlUWWJeiqGH5A18b5IYQ\nOpNfcP4j8rwwJ0dErAtxW7oCrcVHJHz7qSSkodSDmAcQYmHTOmLBNSuAwQX8I6WhuVgH0pC/\n6I3IpajmwYXzd+tnOsv3I5lkMhvX2NSJtSUsNm1nVEE5XLVzpX/Qxh25H17cffh/dWK9cGYD\nx23BdyV8+5kEpKGUIswDCLGwaSWxkEIWapjpf6TmP28vHbnQmHskF1lLA23iC1tzKnhTfEhx\n/fKg68EpGakhjfkrbwliY5YsRw5eXwI/WjrW03vC7CvHA9eHHhbEy7xxB/RxEbyLkqZE7wdn\nQdC+dVcxDyDEwqbVxIJ30Ok75W3tYtSOlNjchhu3E3FIMFXIPRi+tzabP4wKq88JWnO3EDp4\nszGcr7p43dbk9REboiM27tl6vKYgeVdU6PoV+RH8j6QWfYLhIhPQ99L9UrH8fOKcDdwYt/Yo\ndr4/QixsWk8suEhDZDGrzLwILDwEQQmH69++yd24IyXsKN+g0wlQ6qZNMYJOqvLGyRPXmk1G\nVd44frRk6/i5C2cHRJ/6zEWKFUKRmzP4fxZsuFsRQKZIyPXRxOPLF+/jrDAkxMKmFcWCS4yx\n8v5JyfWoo3yxsqCGu7c3Zw4WXUGkOJkY6ebtPSmO35lVHVm3ZUv4oTpVPr1pWDz7Zv7U1Vzu\nHM97FVCmYGjvk5S0EyqIy7UF5sfkOSdhCLGwaU2x4HudwCQ5JrbhGwKx9kBi0wLXV3is4nI9\n5/KH39fX8UdUOREl/K3vT3B5udfqRk63I8LdfbynzvoIn4rmH7Bzy+ops9zW501iApfXcpxR\ncwixsGlVseCX/cBgOf4eywIK+GJtEk/+/Z43YvZir8BNJ/gDry3IBWnbEbjizjZeRk7a2rr1\nELcic7bFxiZzP8KfCkM3bljhu8F9id8kK6AecPyKjJHt2BBiYdO6YsEfx4JuD1reWsn6bVs2\n5ImlpHx6wGvU8JnhmduKm8R6U7By9PTAHdCOPEHvWxawh785qRDpLEsv3zgVk5PAG8QGtiu3\nbI04qCizCLGwaWWx4Ko5wOiyLA00G5T9+PnaiRKx9P7l+VtjZnN9wqCoi41d4eWiuE2e3mPd\ngzb53hCIeDE4aXsc7wVcff/y1RfwidUhwYNJlInh+5CBvJSpGSRCiIVNa4uFFLLQlnq0/Ol8\n3v5iocR66A+hH4ZCewK9l06KzP9UN3jfGn7oBS8nadTQCQNc+juH8pABV03piaKzr+HK4rWh\nft57E0ZP1QK6a5KTm82lfyy9g5szWRKEWNi0vljwNipdyoUKVYcjd2Uk8poeM6KLdS8CgtLX\n89wKBZcmwXRDxYsgaMvgUa797ezn5GQE/XDrTn3/eTk81s3Hq+ewXmTQdbxvUTOxSnPD1gee\nkuO+lRALm28gFpzDokgXTXdXMGee2PQMD12ssgBkamrnfuHZqM/70zd7uPQ07jhu0p6cNZ6R\n63l1wfcF8W4ruYss2IDRc8jC3McRQl3h69wdELQ3VLTykgy0M7H+wuWfr/j7ZeRr7d8Kbe9f\ntI1X9cGKP6X48J3kw3z2H2489u9a1F97NWZfQeb6p0JbvlReDVo1arjtcKcRnrk73NYdLkha\nfO0Lf0dx7IKQkMEUYLQyaGbkzb8uRaXtjjv+H8FnHiQi37b3mPQ/TpR/Jfxdydwe7t4/5BXr\n/3D53x/4+2Xk99r/KrS9r6hb71mBmdWSP3xtYy6f3QWNG36u/RPtuOqSvSsP3vuR/+rHSsGG\nmweCF0+c3rVTn6kDHPovm+20KCnQ09X34NsPZ6PcnJf2AmRzV3+ez4JHv/33zpmi9H28osf8\nD13ajHzbntwfZf6RDfxV+1OLP4vCT//g7v5RXrHwr4ftsCvk89QWDJcc+1eGpGzcF9FUDhEj\ngvTZQX9ufil/eFWSx82/UQ3fXB6TvGrE6B76TBKoh2loOYm7N3djko+FGlAbPnbk/Hmj0mu+\nfIErDkVnZCUHPIHhW2FIx7sFO3hBIu2sK8RvvX2KBb8fAfo8x9jXxA3ehpjg4qaxE7pY7/KS\ncnK2857C50LTslLXXnnNc7DhCJSia9p019e36D7QQI3/TqvzGih7Egl0mTdu1Yb1wdveIPFY\nt9c16FR+MHZP9rYA8fIa5SXFhy9J88SAEAubbyUWXO4OLG9K/Pjrm1ceCUWzoIt1SVC/MvH4\na14WBOUETzLjS0Ridek3bqiPW4zL+E07x84aO2D4IGsy0F5iCXQ8Y/MSVkVF5JYKAv0uIiES\nUMbu0weLLxyFuAXidYgriyJSUjaIVb1EgRALm28mFrKYVUeskIUE0MU6iUR2pkXtvLUue/UA\nDQAoZj3HzXPt0d11cleHkb0XpKWFTLQdOnM5dx5inIHr4v1wzdMbdz/AcNXHd5+vCKxMCIxL\n3RZ6shwt2+h1QRe5QYpZVEIsbL6dWEjsHzsPZzcK6GJd2AjlRE518V7RmcXv/Szt5i7s2tOq\nm7qtl5d9H4eeo6dM9J423G7eykWTjPhXssFDHJfUXymfFoSE5Z7m7YCgbB8uUrM3GDWZu8Bb\naPshyadHiIXNtxQLzmJQk6RvqvrV04+iYr25eOJC2Uteavy02d20+VYZ9Zo4Y7qDUzcjfU3t\noTMWjB44YEAftb6es/0dJ3mOYgM9S2A4wCk5V/BU6H3eloKC3cFHc8MjAyIEwaixJWjfWxfa\nnHIYbV9zCLGw+aZiwYc1pY/9e3N4xULvwp+abXu8OmJLHO/u+cgumvwbv8F9Daw6mToONTay\nNLe1sPDw8bYbaW1iY2w2cNAqJxMOIBktGMMB7q67QwQD9CtRUEEBtO3Qh9JbT/enI/JEo06O\n3glBwlPDUaVrDiEWNt9WLLjEBCzAL+3dQEUh19VnzoRk4VV9z8LGuQYl7wywpfFv+fpGrrXq\nNW7USGMHMysLzc6OJg6+40zUmVo62oYT+o8ZRQOssc7Thk8Btrx9PIFY5+MRsXYLsm2fQkZa\nmQGoa9SqT6xNSAg9jFIDWhRCLGy+sVhwaWcwUSxcAY2Ha6Yu5/oHLGhKW1VzPcDOY8GioTYA\nsLoOHjpt6mxrmyEjBloaWdpYqht0su3s0oGlyTFQZ3eZ28GEBNijx3gNG+oODEOXu+27UP72\nxj7/HL5YyYKx08eC8IS4QIyLUnXpuTO3pdGfEAubby0W/Ko/cEAPKah4W3qnacH7Lb/ZXK7/\nuqkZjbNat+ZN7OVozh9ZqQ9d7mltbevQwbKTdsdOLI1O2oa6GlZ2o/pbm+nr62vpdx9JB2RT\nB1MLV/ehgxiao8fG7orI4G1YP2MpVLArqK7WQcWNsxefip+DbBBiYfPNxYLLnUFX8ckjuPRg\nQsDisIBzDbNYD31d3F09fAOyG6LyyvcHTTCgIpOgHPvBHcws9VhW5t17WxpTaBwmU0urY1/z\nfla9HMz1dfXMqUCtp5k1R3/89HXrLTW8JrkGxnjE8W/05swJzVVkYjhCLGy+vVhw1bymQhaN\nlAbGuCz0DNsT0pBYr3K99djJY/osarzrf7F6IBmQGDQqnUWjMrX0LIyG9jPrZkGl0TXUWXr2\n/QaN9uppPWRMN00NQNbkdLLWoGhZD1ibbkDzWc1dPHY4svh09943CgtLRiDEwqYNxILhMJKW\nSMbPmoKUaB/uGo+UxnXH71Z6dXd0cJ3WMNX0ZiW/f9PWV6PTGQwKicxgc8y7Tpo+3oyixVTT\n4Gha247p5dWvu6mdPgWwHTlsvoA0js3kKRsp6n5cLtfDAYlgzipQqAiEWDi0iVhwCo2+u9mG\nz9zsyPlcrld8Wt3y6fIn5wOyo1b5xwc8R6pLFBf6aQFGp54WRgwqk0Imk0h0PTUDTdtJHhyW\niaaGGoM2vv/w6d5zHdl0ADRGjmDTNalUqpbTqIk+wHrWGi532hBkWWHyUZmq2EuEEAubthEL\nPqhOWi/8vnJ/Rpwnl+uZuPkE8vZCtJdnv40QtL849CV8c423FRUwx/v4delozqTQaCQqXyx1\nMoVMp+uyaGwNjhpVw1K754gJTl1YgGysP6izngaLxlJj9BjTdSYYHOIxe8aywPCdGUkBrwix\nMFENseCzes0Xs56J3BM4ZyF3Ew+5Y7w0cIavzwCnJGj/zpPVL7ljGYBq5jTOdrmvKYdCIpGR\n/wn+yf8Hm05h0vhdo5aegb4eEwCqTkdOb2s2p4M6h2PU2dV+LFi7PWXz5sDLl/L3H3mCV1au\n6tapkzelmLwSghALm7YSC75rBaYJxRaXHw5eN4/nW4jkKCqPm84fFs2d4BUbfqoC3sgBVJOx\nfUy0NY36dWRREZ9IJKrgTz78IReVTKaSKXQtKgkABo2trWFqZmxkoqbL6dB7rI+6ZuYun6mT\nt30SrP/BEauqODQxaV2RTGYRYmHTZmLBz3qDYUIrBqsfXbv7ti5U5ZkPf7jF5U5al55+/YcR\nADCNO9jqGZt21uQw1ekMUjMoFOTChQy62CRAZjDpbCbd2N5US0dHw7jvSCcPMDxmTv+xk4Zv\nEUiMiFX5HnX5xA0k3j4nXKYIeEIsbNpOLPj9KGDzqKrsiWj1QPjZHE9ErOGucVEDSEDLdmAv\nXQ1+x9ZDj8lQY9EQncjkRrMaXwFAYTKYVDJTq2eXrjpqWiZ9hgaHDAEhgZ34ra10EjxT/vKl\n4geIu78EZVq9buFrskz1KQixsGlDseDK2cAsOTCEd6H5JeRFgYvDhCVc78Hr3OjAqIePc099\ndQqNrsXR1eKbQ0IHABKVSWfQyBSKjkmnETOmjOq2YFlqBFV/n0//aXxLpyUgTX/5ciY8PWdX\nqNg0mtBSfRkgxMKmbcSqvLOwS+oAACAASURBVHX2wsMauIYL2GHQnuYrsN7mJSZOGGI33HmE\nIdBcuqfnhP5WbAaJTKXS2TQ2G9MrQKZR6eoUCp1qrNvXwmXVGp/w+G39gS/kNWAGX6yZ8Ujb\nXz4jQadQpr94gN+1sMbkIlJDiIVNm4hVXrguIT7oLH8EP55E94fS8oQvWedj06O5i6aHDQEk\nu5WJiY49nKyNdJCRFHIzSMfSikRhsBjq/N0MuqaZQ98ufd3cw6NTyAbZ0NLO/BHbmjEQ0vaX\nstC6goXi4feVRWHJyRGFMuURJ8TCpk3E+gHJUpsV9BC+GrOaTp6ftkQ4fKU4luezcEZnBtB1\nGtJ13LSRVr27aDApZFSj6gZZAq/IbA02U1udRWdr6xt1MOgztIfnpnFgYnT0igUTfHzGRQhG\ncl/eBSJhx9nNS6zWUXHt2DEZE9EQYmHTJmIV7KhPJnpvHRShDqym+59o6ptOLvHy6EMD5H7z\nDbR1DRzdJjrq0NhYXpEFlyvAf8XQ0aRTOPpmGgwNNY62po6RZTcvkvHFa9eePd0ZGZleF1Dx\n5ZdDcTlQTszRFlRkQoEQC5s2EStfkP44/hxcfjBu3zI2cNzpn/6qYeedARP0AFA3duxjbmtj\n3m9MRzs9moTLFfJCgy8WfximSacxGexOppbWne0twcIDgtiviobZqS9fXhcGrw8uUlBVRUIs\nbNpErNOxgiy1d2H49RG/Qb7GwMjDaXl9EuPqzwNpgG4+0tpS36xHNwOOuVVHFqZXpAavSGQW\nW53KYLEYDCqDQ9fW49BN1IADtK602Rcj9Qqf3H3KH9K9unVLrkQzAgixsGkTsd7nRafWZamF\na+6sytqsB4ynJPiffVPz+cKBjLGAZDRq0uQO6mpqGtrqdAYNfcDeTCv+lYvJ0GXT1Rk0FkvD\nkEFjatPpgBoCrb/T7IsbZ94v8yI3BJyXt0MkxMKmbaYb3p8/dORq3Q3YO97eKO8uQG3Z2Fm8\nQ/sjeQZAa6Tt6FH9urPpTAqJgnOxEvKKD4XGH+HTqWQyjX/FolBpTCrQm8zzbC5Pg1gPAzP5\ndw8SKwhIghALm7acIK2jYPmiGX5dAHNqcE6QhxOJPDnC3Xfk9An8iw/OraCoVoK5CAqDbxSV\nwmSz+aMtOqAwTSeuCb4k/F0NYp0W1JzYKp7cVDYIsbBpc7Gur1nUz3pIyHBA84J8GEBn7s6d\nUemzh+vSaCxZvKqTi0yhk/kjLU0WgwZIHHWTpdmZPOHkug1indgqSMAmRz4QAYRY2LS1WGW8\ndCh16bh1LsPI1N4kks2yuT5j3Sf3M6KS8MZW6F4hYrHVKSx2dxNNEtDUtHVYDUHh94S+rUGs\nS1GCqjzYdb2kgxALm28sVnXppSvNFvOVIAv80vynjHMfQQL0jj5cn76jfPuasTVkvlzVwdLi\n6Fu4TaACRseOQ10CIWid8MKNBrE+5sdl7kkQT8csI4RY2HxbsSqKQtb7L2ioc19168TRTEGO\njozYOQ4MQAY9XTydbAbb6TD4XVqLvCJRNXStTAd3BnSLbuZDZkVAO3KFHws23hW+Pr4fOir3\nfAMhFjbfVqwf1se5es4YfFBwq1Z9PHRL8uqZmdDuqEXeAwGltyMT2K3pYNaRQ6Hi3g1ia0Um\nsY07z0sKILPmzpw/y37ghhhes4ksoUC/KtmCRVEhxMLm24p1IM5tBZc7e4GgSOY9QY6EBb6b\nnV0d2cAoOnVTfwvA0Van4veCOF7xr1ds4yERR3Qofmmhrq7zE86WNK+LgRea3AIIsbD5hmK9\nPnkgeIE3EnTME4TTnYsXZHWJCZw3ngp6T9maFtmzBwuQaWRJvSCmVyRW117Oc7MswaJUCNq7\nZ8sJ0VMgxMKm3Yr1Ni8ujTd4wmoud/qGg/z3lQXBO3OgrAD//t2AuvvsMaOGdrcbq0cDpJaN\nrvi9J5mpYzFsxaAuYNVpQdq+DWIlMQixsGm3Yp3i/2Xvmttt9lLP0I2nYLisYKnTRL+U8HEr\njYB24PZp3SZZde3aSZNFwbkg4XhFppBJDB19o+4TjYBbzZvchD2ZcUjhiur3wilICLGwabdi\nFexEOj6XydzITbmv4YqChB3eNlY23Vw0gdVS/zjXfiP1LNl0ikAembVCvKLSqByb3kM7gSHl\nMPziCAQd54+vSvP9ucWNgROEWDi0W7EOpgoqnSZD0OHnMPwwJDvIa3wvSy0Sud90Z/v++nrm\nDAqFTifhmIUzuiLTaFrqZro6ZixgUVdtTBAq8zggJSd7U1OeWkIsbJRWrIqSgtyjz7DFKkGC\nytPmZR29hqyRubN+2zRPp8lagKzvaGllYMDid4JkXIPQR+3k+gsWhalt3FlP2wSwZ+c3hYEe\nEayQiGjMMEOIhY2yilVzPHzH7kQedmxvZfHauMhpy7ZtCT1RA8NPgxJmuo7SADROx+4d1HpY\n0EUlkvJyRUZ6TzKDwTRwGqBnogfY89y4txq/s67u/ebzDe8JsbBRVrEeBmcjiflxHr9V39zl\nNz1iF7Rn0e6Dp18eC3B1YgAtS309A20WU3RCVEwj7G6Qjqyx4NA59iM6GAG1edwZQgENB7cL\nUo02Lr0hxMJGWcW6EoP8HWYVY1+yKgo3rFwwZ2XQLPuZ4YErH53yJAPbTpodjQ3RIkSbi4Q3\nd0Ui0chMDSZLU4cNWHO4q6cGNeVWuxGyB4JScxtnSb8zsf7dt2Du7n/auVg3Ngge+h3Fzt15\nPSwncOnKkYO6d7EZPH3MlkQKtVN/C3UdHX3UiSthl/C9olBINJZWf0drQB3i5zfNM+ggksu2\n5uWDsuqa87zw0LympzoqJ5ZaM0TFyvW8dstnVzsX6zVvFwTlRN3APuJMAhQ1e3Yfa2ttUwOn\n6Z2ABjdyoouxmh4TfUa00SZ8rahkJFqGqtHJElDYPbo4DBjhNGr2OfjTsYDQwCPv4Delj4Rq\nl6icWADoT3FvRMSrf7xO1taWTG8sR4ffurKKBd/iRcWFFv6KfcD5eCgraIh5Jx0mR89aB7AG\nuQ/pbmeiwWJhLcKpEwrfK/5tIYVJZVB0dAGlp9nMwe4jlnJXzZhRdiI0IXFn7BGR/B8qJ9Yy\nY6A7//jv6D3ha+fq2tpfnR+1c7Hg19culVbhPCt8FLgH2jvdwkpH11SXAqgmA6aOMjSw0dfC\nXoTDVwr30SBJkB6EwtRSo9AByabH0BUTDUdOW8xdM6JwPnem59QNgSKJ3FVOrNqvNwI6AfWZ\nBf9FEeuOMzK+mlbC/yPVy8tr6d+4/PMVf7+MfK39R6Ht1TZ/+9eP5T83vrkblhQz2XpQNy09\nCqBrdp0y1JjOYOvQcUJkcLWiINnXSGSatqauHhXQNbrYzvHqpzVu4tDlS4clDOeGhATOWvNW\n5Ncq9l/ev7WSj5GpPdy9f6KJxeffR5G9AcM56z+iYl10Q/6cc4L/R6i9vf1o9Otau+R/JeEb\nwu781fC25uiS4J4mJhpkwDRUN+5sqU6mUHCDZHDEItNp/E9SWHSGupY+A2iN0hu/xM9prPWo\nGU59LDhD7Xjr1q1b6fMj3tm1M5pu78TvCt8mDiZRRopsrL9iXW54j389VN6uUECzrrD6SHR2\nVtS8HbdKbz9DYvuQCqrLOuhQAENDV91Qg03F6+TqRlc4ZiFGUjXU6ZpqFKA+fKqb64o5g23d\neg7uZNxx9MSeTn7cVe5RIisHVa8rbOT5SpLo5tfO/I/83v7HWAKaifU0OGdPoOfcGe5zAvyK\nyuGPGdNnu7kY04B2J13tvqYsijQRMtjxDPz/Uxh0OptOAWa+G1YfiZvu0HNFZlAv3Q4Tls3p\nY+/MN020gpeKivXvo4gegD4xU/QS53WutvbmtMahPX7ryi9WTdn953WzWfcioEgvrt8g58HO\n7l55FYe8uve2NCUDdR3TrmajBrEpFAYNU63GXhDrWQ7/k1Q6f5xFIYFx2TnZsSWfSs+u2AlB\nC7q6r+GummCXvD2eJxrVropi/Xs3uDNguUE/i1/FoDlPn/umN77Fb13pxfp8LDAs+JBgsvtp\n8M4FXkvndBkw1Ic7P+B00Hjb7r3IQEO/h7mt9Sg7DplMwRRLSCdUs6gUCpuBLEylAFKHbRH+\n3PnH+F94NzcyZprjSiSD37x93ENixXJUTqyv17mWQMOz8Iu4VYhz2fPnprf3mfd6vsKnIrOh\nnE2FSNRK1daRw4Y49OrWb7A3d7VTSuiMkR2oQINpM9TepEMHA7wRlugTHbEDNJmGZtp6ZCYF\nUCx6LvJeuXjsbqTA09tbV854TluxeuGQ4gqUh0sqJ5YJ0Jl77I9a6cBvXdnF+shFkjHmBCN5\ntR+tDhze09SqQ09zd+7ihanBMyYygKaVfsdedgONqDi3gyiPoEWuV3QTo46ddc3VqYDRZZpD\nX1f3qZvjGwpOX/D2HOa+HzXhh8qJhaSca0KlxXrFEyRjjEAWIJ/ZnB06xMaxu/mAAXPduUdW\nj1cDOpwunQe4T+6jz8C+YKEGzQi/YxhqW3buYdXDjgo0h86Z2nvYxLG87J0FDefw9u51lIx9\nCCon1pxmqLRY5fuRqjXZgUiWzxOJoe69+3cf3G9Cj4Whee9PaAF1jpaBhe0oS3OMbKLoWjXf\nyjYysrLo07XnkEl0oD9xzhRz7znc1TNiU6TIxKByYskEfuvKLhZ8KTQdyuQmHbv8Eb7sN33l\nAOeRYwJ4wxYefPbeAXC0NA001IwNtBlk7AeE6NMLgu0UMk1N08C+WwerecPcuwKKR3RMKHdp\nqtsK7jJuSP3z7/LS6w+wQixUUax/nxdGB2Td+aryYlVd2s/z9t64NSrvzacN7ivdBrnNDU1b\nfr/q/SigadSjhwFTx8KQqUHDeJCDPSEqSGFLUzPpaNLB1Gq1g50WYI0NOABXX4qDNk2dNcPt\nVN0D5xf566JCCsWKEtShgmLd6gcEDLin6mLBcMXtNXtysqD4o3CBn//ymR6eiwOv3jzQA6hr\n6nUwMNRQ62Who4meowj3iTN/H42loWfTue/g9Eh7GjAdM3FRMQzfCc2Bdieu3Vv3/RUFSfxb\nh1iMAhOqJ1YRFczMufWkcCWNnK3yYsEnFy3wnhQUl1NxfV12dmbs/IynN4JdAUuHQdMx0qKz\nzPS01GT3SmCWplEnKzvfjPu9SaTOrq69pz5CErRHpWdt5dXPWT1ei9w6ZPu/Qz07lRPrA8uw\ntO5VWUf6W1UXq3TugP7Deg8yGbR0b0bYlq3hhyoqc/0pNBN1MpXGYlKoWgzUhzkStBIcQtIx\n7rNyW1B3wJrkMbBfz33IV344kwsdelT//aVhgpvSgJeoZ6dyYvmRLza8vE5eoeJifc4N7j55\njLmBTofe9jOjkrOvVcBv57BJVjocBgvJK4pEu6CMsPBWDQr+pJAoFEDijPPw0AQ2QTwP1wWb\n6oNDq5vqSbwMQKbRdu1DT7itcmJ1tmvyxrGziov1OCRu0kBbA62ODhM69V8QE1gCw480gbGh\ntoamNp1vB1YviH29IpMFbtFoDE0SydYckEek86Kj161GS057JiwtK25WPHQcbSpL5cRiLGry\nZjFTxcV6FLJ51twu5pxeA4Z06jM1NYP3snwEMOmmxmKwNDhUGmqwjIS4dgaZQiVTmBrm1nZk\nAJj9JiaWnSs+K14Qh0/F5dxlQWsz9wgyN4iicmJpzGryZpaWiov1kbeVt6iPtVn3YV1t+k6K\n2hYSNwjQB9lpUeksjjpNTQ3lWQ6uV1Q6mcVhUNgs6/6eY3vyj9Xp6rIQVao6ao5tEizmRynk\npXJiOXb8t+Hlv50dVVGs6pvFB0+/qhu83wpct6Q/x6rfJGvbvn0mewzsQSeb2w7pwKFpGunS\n2Cyy6Mhdwuoulh6drqvPUdfqO9xWDVBNmIDtt/42zrkcFJTq2XJSfI/KiZUANjW83AE2qqBY\nT3cvjt0RxytDxKq6nr4hYrN/337dO1tYDhwyykQb2HSyNDDTYKjTdZgMpqhY+F7RmXq6VJKm\nrqGadt+eZGDcZ6SjGujgX4pzMsXJ9aV6xFA5sX7rTI7+FXnxdyrTDG1BRfsWq+b0spGTh85d\nH1WEiHU2dPvuLYF3L+9av6BrL0cHC01g4WpjaKTHZGhYd9bQUqM3Ewt31E6lUrQ0TS312bpU\npkZXXUBzmjHJfoSLCTC9iXM6t9fy7wzTA8SisVRQrNrXvYCR5/qN8zoB44cSvGqHYt0OiR0/\neEw/D5ed5V/hMsEN//YD1fDjAJe+/fp3APTp0y16mFqpcbRNOfp6emyq0I0h/uhKm8NmanCM\n1Hr3MldnkYAed1Ov0aP6dJk0ChheuFV04NgT1NOpORcQuZ53FWWP6onFv1R1QP7bNFhZLcmr\ndijWsa1hvZxdR3v6rK38Ct9Zj3REOf5v4ftzBw4c7cwBxnMX9jU26WPJYXG09Y0M9YwYjQ90\ncL1i6XKoZCabrmba10yHDMgGdilJ9qtXL/FfdTyGxPbclpYYcB/9hMpu3UENnFE5sQ4gY/f/\n3bmCLP36skrlxDqcEmE72XXczNnh/CtW3dx3NvcjfGNIH6uuXYCaw+jRllNGjO+op2ZkZKpr\nomGqQa4LSZY0alfXMmCbW6jZDzDTAoBt0G9cvN+inBwI2lEAx5Opy5HrInaqCDRUTiwwtbLh\n5YWOkqJp8FtXRrHOxcRPGjiy/4Q1mfwr1sc8JHVfXDFckT/d0cmRSpq0s2jf1pCpRmY6LAOO\nqaEBpSHGDy/zI4WppctmaBvrOJh1tzehAmrHzj26OC2NjUSs5Yt115tJ8hRcF2VB5cRyA5wc\nwYTDL4sBNUjlxHqfF+7sNdk7NuokMni/n7shLqzgHfwsOHbi1G7AYtU9GK44NMigVzddJoN/\nd0dTo0vQisaiUhnqppaGxtZG5gbdOQAwDbsMGzzO69RNJDc8FHWOf13coAnG7eVixMdgoHJi\n1Rabgcmfa2tPmoGBj1BcaqdilZ04UFiCPKd7fWKz29Lo8IIPgnmsd9cv3q5AHu1khzhTmYPy\nkPDzS4vdh3TSZ+n36qLN0aDgeUUmk6l6WgxmJ8selhYO/UwMyECty0iTjvZOM8/ANSdCtiRH\nFnzmXxd3JBkB2wIJZyiC6olV+99VZK20OUA7TXKkH37rSiRWGS8+LTXsOOLNq7uXz529Ud5s\nweoH/4x948DoLffuvaiBf1g22MaQo6lhZqbFojebZCA3KxhAJjHoagZabJreMLvhxn3dOtAA\no9fy4R6LnWbNPF8Nw9W3Tx4rQdbflPKiw43BwO+8K0S4aw2EhlqqINbhRCg7Yf28MzVVZ3jh\nIQcEkSsCsao/8hV4eSJ+Bk+bsSR5bUTgsfLSGaa6HG0mq0M3DQZN6HJFrotzoDSGO1BMzAy6\nanK0DE0GTnEL6AjI/Zcv5nos5Y6OE5mXenP1wsWRwOaR+Hlho4pi/eJHpgGLYyokVhWUuXft\n9PlTFpy5EpoFQSl5yHjnjxtnzxfncvefPOYdkLJhKBibupl/ixh55rW7Ef86xGSpm2vSKMKX\nKxKZSqFTG+JoyBS10XMm23foaj/Koa+7CwU4hELBS1a57dwbdxrlFCq9gDlOqjcxVE+sfwtN\nwJh3BfpgWrnKiFW9f3eMJ5frFRu8fafgqe91GP50Oixh9dB12fEzXaZ68tI6ga1+O/nD7T3Q\n4SlGeoaG6mwNIzoSCSro/ShkEoXGv1jRyVSqmjqVbxWVosUZMWWdz7hVGRnxA5nA6vhbbiTX\nbXoUlBN6C+0cagIAR6xiDjYqJ9b7SUA7i39bCM8CmjskjbLwW1ceseAzUUFLuCumpsVFZSJi\nxV3ib0qCsrhL3JIDFgycPWPMZGAxdZRH0HZo57TZo/pa62prs1gMEiDV5S4S5CGikykMDpOJ\nZKflD6701Bja3YeOcxy4KnmmOuBsrKx9sGO2q5dvcnJYcTX6SWwks/ZLfcYqJxYbuFXUvTpq\nAgaoilifC2fN9J4aDyVsTEHm2sPuwDW5udBON67PWg/ugN6jJ1gCC577Gt+AiEnDR/TuNaAT\nk63FAHXXKzKZTqUJBuskmq4GW8uazVLX06OpmXitGOKzeOZILcAcWAL/+DZ8F5QTtyn/6DXM\n8oLZTEqCtGescmIZFja+/Gm+6kyQVu5dHpfG76WKA1Nz9sYeLIdr9udB6a6rfYKmr+lr5+qq\nDyzi1s3ycx0x2sHCkqNmQGdSEasogkQxTDpN0BsiuYiYejZGDKZuB22D7kGuy7i+HEAezD1W\nDf94XlABIPIa3lmc0gF+Up6wyonVLLHcWZURC/5wIDo1Jby4+vYBf+4x5M7/WCqUs262+ybX\nGb2H29qzKGMT9kRyHZwn2PTuoa9vzwGA3jC60u6gyyDT6PxhFZlO1zYxNFJjG6mrm0x0HjdK\nB5Dt3NKRa9SPxwRLI+Iv4J7FVTMwU7p6qSonlkzgt65UYsEfLhw6cqWCP5B/V7eu4fWx2NTN\ns73WLxhmPbxfR2DhkpizNWjEcPPu+tpaHCYgq1Ep9R0h28CCTVfXVOfbZa7XzVDPsJNd7yEd\nnP0GsvlXq/i9ay5cuVcB/3guXVB4EC1SQYjHPcC4j/iH1EGIhY1yiSXGT2cLi68+uHVwudfI\n6Z6gi/vWBLfpU8y1LE3ZTDLQ7WOqpSnIxEdl6nIcDJgamnrqdANLbVOrLj1HeE6d7WnLBiTL\ntVlp/tFhMaEFr398Hc43a0se+pqbJl4PAnYvJByDQIiFTRuJ9fLMoeP3UFMDNad+5r14W0bg\nDA9gUbjPfdLaJYM0Na35xphOc+UwtZAn0BSahqm1nRmDqcZiUQ06D7HR7jtt8yb34SxA7x9y\nKZ+7L3hF2Mas+KL//HuPtzawACVkT4RyV9ABL1q5HkIsbNpGrOe8uNQta/GHOgJ+PF986pEg\nOjg7gQf6Vz9ZtT2s/ygLJg1QdCfNHGqlrsNGJhk0NLQ6drE0YGnq06kUPZtudkOTcseRgbrb\nzg2nkZWJw+b7zgrM4L2p/ePT0zJpQmNqlgMDyadHiIVNm4hVU5jEH+rsCRDN6dmcipdvn4Zt\n3JYQeBW+GrY3LcUfGBw47x842tZCFwAdszFDhg4zVKPT6RSylp66RpdBo/vr8y9cXfR0DfoO\n6sYf2HeaHxoTUsQfrD1c5sFdscRzfVBZ7R9S/5IYslq+pGMIsbBpE7E+cbMFt/14kebwjdwA\n/3Ck8mQ6723Ftplj7B1NSbGBkX0szOiA3HnWiujJi8aa66qx6XSGgVEHvW6jRvbqa9hlRLcu\nOnpqFEAdeAh+d+vKA2Qe9NJ6Z48BgxymZVfIIBa8g0ZPk3AIIRY2bSLWZ0H+Rwh10VXltfTY\npOPv4NKgNCh9dPge/nHh924FRq0cNXUU8Nq2wsiUAphGZs6LkzxnLOnWVZNNo5NpGoZanSe6\nutl36tLPWA1Zgzo+NbhpqeCljb69xzmP7JX+oyxiwYc0SAH4RxBiYdM2Y6wj8YIrEUogec3x\nBRNneczJfFm4DYIyXOcgB4bfzU+FYudwnalqMbM0AbnLaMeBF1+dG+HHHc2/ONFJJCpTU43Z\nd9DovmY6bAAAzSAiJ0eon33oN2WOm+vo5dyPMokFlxgDX4wnP3UQYmHTNmK9yYtMjAu4jrKn\ndLWrH5c7Z2URlA5BOUGzoiFoN+8l/woXP23xdDfA0QRao11d+o8vg68MXs111WWytMlkMlNX\nXbP7ACsOCQDNrp2svCAo8WCTEjU5w+f7egZmBssyxkK41wlM/oyznxALmzaabvh05dQPqMva\nL/rP4nK5y9dw9yNlcncuWB3v773/fV7a3rUD+/Vc0hEAo17DnAYNjquGP3g4z3E3Y2iwyRQK\njcGhIY8Nre369u82dabnxogDwjcGzxeFh23MyvL/IKNY8EtHMBgjsS0CIRY2yjZBekkg1rI1\n0JW1GRCUXABFLAnfkHs0NNRz4Th7TcCmAMNeI51CHvMH9+v7DR7RU1tPn1YXmUx3WLxsy1Dn\nsWsyNqf8cLPZhab6aFQ2tHf9KdnGWAgfxgCbB5h7CbGwUTaxnvhNWcnlzvYrrrnECw0ueJ+P\nrG/fmn90gIf7BDrofPPacABI5t5hiZvcl7vZdmRrUAQpM8l0Y+fUXRuC/X1Weq4JEAsD/XCM\nF8I7VS67WHCVDzC6jLWTEAubNhKr+u17jHn38/PGuE+ek36/Cv7w6HlFRXBGTFhkSuCt1bG9\nAGtJeCkMn+T2p4EmKCwmjWGoZ9HHK4k7L2v3OlcXj4uChp4ezS0oaUihVvPm6TsYboFYMBwG\ntI9h7CLEwqZtxHqQz/MvxEgd9Cg/JXGzH+8AUjIA/ryG5+U7z21hqbs26JyYUV/i9MOxrJQF\nLq4+y0ODti3v3KWrtZH1WLugovPBSOH7jNCHyDFPeIm7d4SdbKZvi8SCk6n0TPQ9hFjYtIlY\nz3kpOTlJeegZY2H444GEfTmJi47zLfoybTZ/yOU7xYtEdonnOoWda6xoc3IzMhUWezq6n5VF\nz66TNgTdhN/ykHnXfYGCcfvBrcgC6uBmvWLLxIL3sSjxqDu+b7H+xUfSftmQ+HUCru4s5rOl\nFGP344Ti4rQwZzeftLe/Lpmxgrt8gh7omLl0+PjQzPiSr/UHVYXvLT6Slr5nEHdunwH9pm44\n8we/3YSi4qKkS//wd/++rhD5jqSnLTg9MW7oAb+vkg+TlxaeHXZ7uHv/VsErlkgqs08/HCq6\nJHQbdzYB2jl1juNo30kLz8xatmD5IAqwP/4pbr6rW+DWoMbQhNJ83tK1a2Z38fBb5N5r1H7k\n8vf5BC804KggKKYSyhB/atTCKxYMXzMHMyrEN3/fVyz81ttErGNbBKslzte9+1wQlbo9srDp\nL+5yDLTR2224B3fJgmFzZkzXAcwByeEZA5fx+0Te2qbVNVXPsrZCvMmDZ3C50yPru8g3j17V\nj6pOReVAUBqv2QrUFosFP7EFTuI9NyEWNm0i1v3AdAjagRQsRUKALyKZOXIirjTufp2bGjW7\n3+D53CVu02Nc6EBzEXG8GQAAGh5JREFU0Pqc9GlOfvzRlvdCodx7D0IhKMyzv+0cb6dCse/4\ndDA0Lop3p9m2losFvx8B+ordbRBiYdM2d4VXeKGheXfLL+VBB0vhI8iiHGjr8abd9/MWO3Xz\n4nI9h3sOAmS9bhPnLXcdPs1zDZc7I0qoHuW9CAhKnTpvZJD/HpSY0Kp7l0TLwckhFlzuBixF\n1yISYmHTRvNYHx4+/lxzMjxtz7bAe3U5PpOEk8eWl+70nrPKd+IAHaDpPnDgdHvn1YNHz/WY\nOt4tV+iossC9/JHaCrc1h5BZiA9leI/1BMgjFlyzEuifb76JEAubNpx5fxqEzA6kHri6jj8a\nyg5pHkPz7gDPadFwMmnoDO4UJ5eJA2avdJ24ZNz4mRl3hA46HZa2JyXoAjLX+vEkN5B7QcLi\nGrnEQmL/2AeabSDEwqYNxbq1AblS7eO+PRoSHx98QjRA5c3+HoAzK3DKHJcFNkO78XYnjB8w\nNTAljfe6KbS4ouQAt+AuMlqvPhq1F8oMkxBNLKdYcBaDukX4PSEWNm0o1j1BEsg93PLqe+fP\n3xd7wrNdHUwuqymeuS5t9wQPv2woxz0ijf8ndwuUf7XpylR/L/k8cB+/rUwuSvkIIeQVCz6s\n2Sz2jxALmzYU62Mef9SeE4WSmJ/PazfAioFrPpTkLI9PXuizE4I2B+3em7o9dkxw5o7Qc/xh\n2K2L15uG7KXhgqWogS/h17euPcFa/iO3WHCJCVjYdGklxMKmLaMbHuZFRK9KuY6WnrHIBNjd\ngqtPRMbGLNtx/CS0dkNoQXZ4gIf71FFbICiL9/JVfnhcZO7jhuOfBvPHaTmbZ+TsXBoZHXQC\nYyGO/GLBpZ3BxMbLIiEWNm0aNvPxZtrSyIhcsapbFQFkih+/k7seWsS3KOgBXP3o5oOKG26z\n/BZ2H4Ys8AkvPYTELKccaJh8qCqKzYGiR67ZPNZlK5S97opoi3UoQCz4ZX/g0BBESIiFTdvG\nY5Wsy0amx18133rNFpgLIlUOpxTz9dl8pm7zpeAQrp/TnFD+ppDrvByk6wtpfMb89nBgwMC1\nWbE+i3nZUCpGLlFFiAWXO4Ou9fngCbGwaVux8gUPDaMbCmtV3z1x5MLbRBZweQ3DNU+upSQU\nC81wnU6EsnNCZwZCUHL+0wDBmCqsKeN/ddlp/raoedypadCuPPSvU4hYcNVcYHRJ8IoQC5s2\nFatmvyBJx6YfkDdl545uX70lJaQv0NzJf1t1PCh60UhEvIj6HB6Xo5GlPYu9YyPynlbkInsy\nm63zeci/liXMWOO6G9p8XPy7EBQjFgyHkbSOIv8kxMKmba9Yh5MEKdaQRyWlvLjo0VO2BmqB\nXoJAvZKwbChj5YSktKiD9QOpd3lJOdAO/zMlt/mj59uBW3enhFwSbuxzXiqUHTxlTUYiD2OJ\ntaLEglNo9HSYEAuPthXrKS85KyMaCWwo51sR57XQjkRxyRHMUhUgl6Tdqzfln2vMKPTsIC/g\nQMNI//6R3EO3mk+q3udFJ6yL2g0VY5W1VJhYcIE6aT0hFh5tIVbVrePFl+p0eXiQu7+wuOj4\n3afB/C5xAgcYRWdAgsmCXEHyvdRmc+nVb17iPrR5U3L22qca7KQfihMLPqsLfKsJsbD5FmKJ\nyFBzInTLtqgD9bOb5c8EmWcOBkM508ig4xYori5tcXEC0kvGoiY3bikKFAu+YwWm/0SIhUmr\ni1V9s4BbcEO4zypdizx8jmlItF6UiCyB8N8VZQPUHOYnRB6oC6h7wUvaszvqXN0jmxenDp3E\nXt4nNYoUC37aCzhJl1FSWgixsBEXq2Rt6p7UZqPsC4Li3Wn1UwLldQlConhMYLNuCXTy+M0n\ndYP1p0eg3LP/g98+fFbxkBefmhgkIcGjFChULPj9SNBTpkIWkiDEwkZMrI/+SOx5pr/Qc5sf\n4gRi1UegVEBIQpl0B8BcduRcWdUpXnhIfn1ce1UN/Pc5Xmhw3q4UQQ4RrFU9UqNYseDKOcBC\nlkIWkiDEwkZMrGfBgpnMkMdNmx4E7xXUcqsovX6f35cc5Xu2Xh90EcySXg7jX7/iN+4vOF83\nBHsUytduo7ugokAYXkVwqVCwWPD/QgAH/Rl6iyDEwkZMrJcByLOXnEChXLE1p4MTkiIKnhSE\nRoccfAO/PRAxjgw8BP1fde4u5OHguPU7oguQeNCaE0j1k93DBWsI12EU1pUeRYv15ctGMjtX\n8nFSQoiFjZhY1YKnxQkHhecAakrPnLz2sZBvS05cUTV8vSfQ31u3RzDg2ujpw7+IbUAWylcW\nI/1kznwe0nfmSpUiGw/FiwXvZVASFdUcIRY24oP3VwXrYsLyxafCXwQKLmW8l9vVgPPL+o01\n+an8Ls93+lYISjmCbDiFJDOC/LdEJ23kiQVByEwriAUf0ZKU909qCLGwQZnHqrh35W65+JGP\nQgWDr1UjgYbQf/J3gnfkhExF5iO2CuIbXganQdlxB19dPvkDfiZcqWgNseArpmCWYqYdCLGw\nkf6Rzlse0stx1YFDs1UUN/N48735A63sUMEa5q/Xc3n+xa8VdHatIhb8uDuYIHcvjUCIhY0M\nzwovhO7cPZZECRB5AlP19tPJ4LhN9YsrvsIVrz5IUWhAOlpHLPjVQGCvgOspIRYOMohVeWWz\nPjBBSz1V8/DixQd1Nn1F2d1yWkksuHwK6CL3XAghFh4yiFUTQwfT0eLdhWkfYsFV84HhD3I3\nR4iFjfRiPRsNtHZLPKqdiAXDMSQ1jHho6SHEwkZqsbJ0wHApHrS1G7Hg7TT6LjmbI8TCRkqx\nPvoCRhhubv562o9YcKEGKVy+5gixsJFOrDNWoOtFqdrDEuvl3VJJRQdRaFWx4HN6EgpZSIIQ\nCxtpxKoKo5F8pJz4QRer+mzA+jDx5YgSaV2x4HvW+IUsJEGIhY0UYpUOAPoYy7PEQRfrRkgW\nshzxJepOHFpZLLjMEQzBKWQhCUIsbCSLlakFJkk/m4guVqEgVVvsJdSdOLS2WPCH0cDmYYub\nI8TCRpJYbzwAM0aG9tDFOrALESvhrAwNCWh1seBKb2COVntKKgixsJEg1mET0Be3+qUo6GId\nRcLkoYhrsrSE0PpiwTUBgIOxXFYihFjY4IpVEUAm+6IEOuCALtYzXnJ2VlyBzAPlbyAWDG+l\nMva0rDlCLGzwxLreC5gflbE9jOmGhwe50DHZh8nfRCw4m0nZ3KLmCLGwwRFrOxu4vMLaiQXm\nBOlH2a58dXwbseBTOsCvJREZhFjYYIr1fBzQ3CF7e+1o5l2Iq2ZgJkohC0kQYmGDJVaBIXBs\nSWhx+xQLftITjJB9sVo7EOu5y/8pk1iffUlU0YA+6WinYsGvBwG7F1g7sVB+sX73dVYmsUps\nQGcJibKxaK9iweVTQYfbmHvRUX6xtq9QIrEEAX0teGIsoN2KBdesAAYy/tek9GLdmntfecR6\nMBjo5rS4vfYrFlLIQi1fpuaUXayfve69ai2xqm8fKzqPMywVE2sPB4x4jH6sNLRnseAddPpO\nWZpTcrH+jdpRWy9WqL29/WgpdZSOm9EZ2cnHf5L28F8WAebWfxV6Bu2JC5qkiLY+B0z+aXwl\nWaybM2bM+Hje9/cGsfYsXbo04C9c/v6Kv785HyIOHj58ePsFzAO+1v4t9O6qNehxT5b2xfhX\nrk+L8netTL9WIv/8I+GAUhOw/A+pm/u3Vr7TEWsPd+8fMoj1e3V19d+pzlOmuDi7JDdsxL8e\nytYVlsQiT3/rkzmiIdwVVobRSDI+GhSjXXeFfEo7gUn49X2EUPKu8D/v378vcX7U+Dn81mUT\n60q0QKz9mBG4QmLd6wcMZBu8otDexYJf9gODpV3IreRiIbTW4P15ILIuPhY7J1STWNvVwGT5\nlwe3e7Hgj2NBNymzXH7HYsEXA+OT1udjz0o1iPV6KlBXRHqf9i8WXDUHGF2Wqrl2IJYw+K3L\nOo/16PypqzjjpnqxDhkDO1nnnVFRAbFgOAxoo2USEOO7FksCArHK/chUvxY83UdBJcSCt1Hp\nGVIcRoiFDSLW1Z7AvKXRuaKohlhwDouySfJRhFjY/Fb7UyILTJc7v3EDKiIWfEYX+EqM/SPE\nwua3qnFAS94cBkKoiljwnY5ghqTRASEWNvl6YGjLF9aJozJiwU9twXAJF3JCLCw++QJasFzp\nC0RRHbHg9yNAH6yyZHUQYmFw1hp0K5WprJxEVEgsuNwdWOAuqiTEQqU6hk7y+Y9s9Qolokpi\nIYtZdfAKWRBioXF/INDbL2shTImolFhI7B8bJx8KIRYKmdpgxFOZK6xKRMXEgrMY1CTMnYRY\nYrydBpgxyDwNIZYEDmtiF7IgxBLlpCXoU1dfjRBLEiUmYDZGIQtCrOZUBlAaA/oIsSRS2hlM\nRI/9I8RqxvXewKy44Q0hlmRe9QcOqJFqhFjCNM/1QYglBeUuoCta7UVCrCZejG9WvIsQSyqq\n5gFDlKzRhFiNHDQCDneENxBiSUcYSatYbCMhVj2f/ciiuT4IsaQkhUYXK/hCiFXHle7AQvQJ\nBSGWtBxUJ0WIbCLEQkAv3kWIJTVnxQpZEGLxeToK6OwT30yIJT13rcC0ZutSCLHqineh5fog\nxJKBZ73B0LdC7wmx3vlgFe8ixJKFD6OAjVBtve9erDNWoBtGuRFCLJmonA0sbjS++87Fws31\nQYglG0ghixMNb75vsUr74xXvIsSSlY1k1v76l9+1WJlauLk+CLFkZi+TklD36jsW6407YOEW\n7yLEkp2TOsBP8OL7FavIBNjdwj2CEKsFXDEFnkjs3/cqVkUAmSIp1wchVkt43AOM//jdinXN\nFphLzMZDiNUiXg8E9i++T7FqElnARXLOQ0KsllHuCjrc/h7Fej4WaEqTs5wQq4XULAMGt74/\nsQoMwRCpcn0QYrWYGLL66e9MrE++JJqUxbsIsVpOKo2uwARQ7UCsc52kL95FiCUHp3EWs7YA\nJRdLtuJdhFhy8OcdfdHYP3lQbrHuDwJ6kPQ/hhBLDv6sLbUGkz8rqjmlFiuTA0Y8keHHEGLJ\nwZ+1P5Y5giFvFNScEov11gcwYmSqx06IJQfIPNaHMcBGQbk2lVesUx2ATYlsP4YQSw4EE6RV\n3sD8ukKaU1axhHN9SA0hlhzUzbzXBABthaTJV1Kx7jkC0yMy/xhCLDloeKSTTKVnKqC51hbr\nJ1y+/IG+facamPIW/6No/FH7P9k/hMNXhbb2S+1fCm3vt98U2txftT/XvdjPpCTK39zP/+Du\nbirj1UKx8Ktw/oNac7TCBWjuaElRz+YVVuWnnVdYlY2mCqtX9UDAn/K3h7tXlgqrqOBfD1G7\nwkJjYN+y4l1EVygHQtEN18zATHnLXCndGOuzHMW7CLHkQDhs5klP4CRnRSJlE+tKD2BxAu1Q\naSDEkoNm8VjvR4C++IUsJKFcYiEBfeK5PqSGEEsOmgf6lbsBS/wFBhJQKrGejZaveBchlhyI\nRJDWrAT65+VoTpnE2qsDhj3COlQaCLHkQCw0OYasdqDlzSmPWJ98AR0914fUEGLJgXjM+x4G\ndWuLm1Masc5aga4oKVdlghBLDlAWUxTJEfunJGJVhdFJPh9b+iMaIMSSA7RVOiUmYGELOxHl\nEKt0INDPbdkPEIYQSw5Ql3+VdgaT0AtZSEIpxMrUBhNxcn1IDSGWHKCvK3zZDzi26K9GCcR6\n4wGYuLk+pIYQSw4wFqx+dgZdH7SgubYX66QF6ItbU1Z6CLHkAGsldNVcYISRQRGPtharMoBC\nljmgDwtCLDnAXmIfBrSOytxcG4v1oBcwk/2ksSDEkgOc3A0pVHqGrM21rVhpasLFu+SGEEsO\n8JKCQCxSpIzNtaVYL8YBzR0yni8uhFhygJtt5owu8JVpwVRbilVgCPo9k+lkJUGIJQf4aYzu\ndATTZYqSazOxPvuSqAH/p6Aq9vUQYsmBhPxYT3uBYW/xDhChrcQq6Q46n1dQFftGCLHkQFLi\ntfcjQR8ZOpi2Eash1wchlhx8Y7HgcndgIf2EY5uI9WAI0M1BXhBiycG3FgtZzKojWiISk7YQ\nK4sDnOqKdylMrPLrpy88IsSSB2lykMaS2dLGCnx7sYSLdylKrE8F4YnxgT8QYsmBVMltsxiU\nJOma++Zine4Iul1ueKMosc5EQxC0J/AdIVbLkS5r8hFpY/++sVgixbsUJFZN7m6+WFDsbUKs\nliNlOu4rpmBWpRTHfVuxSvsBA+EAfUWJtT8dEWvjLUKsliNtnvfH3cEEKWL/vqlY29VEincp\nqis8vonvVXbwS0KsliN1AYFXA4CD5Ni/byjWazegnti8dUWJ9SY3NjU59OSvhFgtR/rKFOVT\nQJf7kg76dmIdMhYv3qWw6YZ35w8dvVlF3BXKgQwlT6rmA0NJK6q+lVjlqLk+iAlSOWg7sWA4\nhqRegH/ENxLrak9gjpKBkBBLDtpSLHg7jb4b94BvIhZm8S5CLDloU7HgQnVSON7+byHW8zFA\nMw21dUIsOWhbseCzeriFLL6BWPkGYChG8nBCLDloY7Hgu1bAGbuQRauL9ckX0AKwzCbEkoO2\nFgsucwRDMQtZtLZY56xBlx8wWyfEkoM2Fwv+MBrYYOWdamWxjtBIC3Hm/wmx5KDtxYIrvTAL\nWbSyWD/12Y/XOiGWHCiBWEjsHwc9ZWxbr4SW/bfgQIglBy0sNh5HZqFeOwixcCDEkoJsJmUz\nymZCLBwIsaThlA7wE99KiIUDIZZUXDUDM8Vi/wixcCDEko7HPcE40TyfChfrt50+Xlv/S4gl\njuqKBb8eBOxeNN+kcLG2+N57uCKKEEscFRYLLncFHZoX1lK0WP9MvVRbe9f5N0IsMVRZLLhm\nOTC4ILxB0WL96Xq7tva5c2NfiN7qx7vXHiLPDwmx5ECpxBIUssgXeqvwrjA25Jdfo0KRV+XP\nnj0rQy2v+bQgMja0uOqnn778KX8pTyGICqty0FhhtaXsotHTm979jP8vT/YKq19mOzvP+Bl5\nFWpvbz8a7ZBfT+w9erQ46YaULRK0E85rkiKkPfafxleSxbo5Y8aMj3+sjn1elrgM6QrPbNu2\nLf23/2/v3GOjKOI4/gsWaRsDJQWVaoNYDMQXmooF9Q+bEDWmF21pQR59pLwUEyAqPUnURovx\nEQ1ijJ4SSijP2hpCSkWF2NDYiB5WbShNtMHWWOC6tbT1+uDuuuPuXmsas7vN9nb6m83+Pn/s\nzsxu5r6ZfLK3t7c7q0PzzmqFQ9U9A0Nhve0TJsyGbO1PtrW3QRaxtb9QyNbuImww1i78KbA5\nOFoxH7ygBbEGA4FA+GxemLHhglOjjXpfr2ffUB8vrXihnc6xYkGwcyyVn+ZD1si9f3afY53J\nCynHufwTZmKd9+5XxPqoMkBixYKAYkm/LYaHo/f+2S1Wb0FZ84V3V3aaidVZW+or/7CkkX4V\nxoSIYkntj8FC7UUWtv8q/LNs9TOlrf9VdTvtqDtysErxisSKBSHFkq4UwM3qbEJI/xV2Rp9d\nJbFiQEyx1BdZJNXQn9CmkFgTYnfc9XtJLDNIrIlxIOG6d0gsE0isCfJVMmwMm+9CYtmGi8SS\nGlIh3/xFFiSWbbhJLOn8PfDoH2Y7kFi24Sqx1Ata97eYbCexbMNdYnUN5MDc/0+0NwYSyzZc\nJlakcwvMPm24ncSyDbeJpd77l3jUaDuJZRvuE0vaNy1ul8F2Ess2XCiWdMzwRRYklm24USyp\nPgXW686ORmLZhivFkhrvgCf1JrIisWzDnWJJv2fovsgiVrEmFV/mr9gRTLiS+Tp2BDN2ZPbw\n6XgoF+5sN97sBLF2pzdiRzDhUvoO7AhmbEu/yqnn4e7uAeOtJFasuFYsc0isWCGxdHGCWLXe\ni9gRTOj2HsKOYMY+bz/K5zpBLMKBkFgEF0gsgguOECsyqIKdQh+5Yl3RZ5Hx98MBb+QcIVaV\nR+Ep7BT6HF7V8EPBp9gpjMAbOUeI9cHOZgXsFLpE1n7JWP2KIewcBuCNnCPE2n4MO4EhrZ4A\nY/2eJuwcBuCNnCPEWlNWvLrsL+wUuvg96vlVXj12DgPwRs4JYvV5Sn9pfLkwOP6ek09djros\nrMXOoQ/iyAkuljadYCSgHBX6lp/GDqPHyBHrDHYOfRBHTnCxtOkEo8XnjuJG0afVIykphT3H\n0kAZOcHF0vA/38PYQO532Dn0iKw9pRxX8wS9yIY4ck4Qq7/wFX/Ta5tD2Dl0OVjY3LJhD3YK\nAxBHzglisbZXV+S/1z3+fhjI+4uL9gh75R1v5BwhFuE8SCyCCyQWwQUSi+ACiUVwgcQiuEBi\nEVwgsQgukFgEF0gsggsklnWCb953Q/ISX5ixk/BStKkF8v6+KbFNK+eAkPdhTDIklmXa0uDe\nTcVp8HiEhZJvk7W2t+BzVg1ZauU4ZMu4AYWAxLKKnBFXrqxCG+B9xjbBj1pjRkJQPVR9wVjf\nrTMv4wYUAxLLKiegVFsPzbybsTrYrpY7IFdZXkq6pZdtgwOI4cSBxLLKsoSuaKGybJBF5mjf\nhT6oVFvKYcu5KVn0RahCYlllzoNja1vBryyfSNCeV5CXTUmbIebTRJMOiWWRIKwcW/0eShjr\nnbo8Wrs4FXwYoQSExLJIF+SPrcpz58msEo5Ea1UARRihBITEsog845GRkuRX5wj2wjm2Kv4f\nraXrxtRsOIkWTShILKssThp5/rMEGpTlz+C9Nj072rIGai4npfaiRRMJEssqn8Db2jq0IPGa\nspIXzPsaDmstNepFBx88ixhOHEgsq4Tmx1coq0gJvKjVS2HptD61cDVlegdjw0vhW8x4okBi\nWaZxFixav/EueCA6y/kFgKe1wjr4WF01xd0u5CwTkwyJZR3JuzB+9kO7Rh8DXQTatMnfwJJh\nre6FrVjJBILEIrhAYhFcILEILpBYBBdILIILJBbBBRKL4AKJRXCBxCK4QGIRXCCxCC6QWAQX\nSCyCCyQWwYV/AREmHWMRRq/tAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loadings <- pca$loadings\n",
    "library(ggplot2)\n",
    "options(repr.plot.width=5, repr.plot.height=4)\n",
    "ggplot(data=oil_px, aes(x=CVX, y=XOM)) + \n",
    "    geom_point(alpha=0.3) + \n",
    "    stat_ellipse(type='norm', level=0.99) + \n",
    "    geom_abline(intercept=0, slope = loadings[2, 1] / loadings[1, 1]) + \n",
    "    geom_abline(intercept=0, slope = loadings[2, 2] / loadings[1, 2])    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:41:03.539277Z",
     "start_time": "2019-04-29T03:41:03.280Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAAC3FBMVEUAAAABAQECAgIDAwME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\ngg==",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "syms <- c( 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP',\n",
    "           'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST')\n",
    "top_cons <- sp500_px[row.names(sp500_px)>='2011-01-01', syms]\n",
    "sp_pca <- princomp(top_cons)\n",
    "par(mar=c(6,3,0,0)+.1, las=2)\n",
    "screeplot(sp_pca, main='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:44:09.580205Z",
     "start_time": "2019-04-29T03:44:09.528Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>Symbol</th><th scope=col>Component</th><th scope=col>Weight</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>AAPL      </td><td>Comp.1    </td><td>0.15091136</td></tr>\n",
       "\t<tr><td>MSFT      </td><td>Comp.1    </td><td>0.10952467</td></tr>\n",
       "\t<tr><td>CSCO      </td><td>Comp.1    </td><td>0.09945973</td></tr>\n",
       "\t<tr><td>INTC      </td><td>Comp.1    </td><td>0.09474285</td></tr>\n",
       "\t<tr><td>CVX       </td><td>Comp.1    </td><td>0.39309949</td></tr>\n",
       "\t<tr><td>XOM       </td><td>Comp.1    </td><td>0.35451723</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       " Symbol & Component & Weight\\\\\n",
       "\\hline\n",
       "\t AAPL       & Comp.1     & 0.15091136\\\\\n",
       "\t MSFT       & Comp.1     & 0.10952467\\\\\n",
       "\t CSCO       & Comp.1     & 0.09945973\\\\\n",
       "\t INTC       & Comp.1     & 0.09474285\\\\\n",
       "\t CVX        & Comp.1     & 0.39309949\\\\\n",
       "\t XOM        & Comp.1     & 0.35451723\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| Symbol | Component | Weight |\n",
       "|---|---|---|\n",
       "| AAPL       | Comp.1     | 0.15091136 |\n",
       "| MSFT       | Comp.1     | 0.10952467 |\n",
       "| CSCO       | Comp.1     | 0.09945973 |\n",
       "| INTC       | Comp.1     | 0.09474285 |\n",
       "| CVX        | Comp.1     | 0.39309949 |\n",
       "| XOM        | Comp.1     | 0.35451723 |\n",
       "\n"
      ],
      "text/plain": [
       "  Symbol Component Weight    \n",
       "1 AAPL   Comp.1    0.15091136\n",
       "2 MSFT   Comp.1    0.10952467\n",
       "3 CSCO   Comp.1    0.09945973\n",
       "4 INTC   Comp.1    0.09474285\n",
       "5 CVX    Comp.1    0.39309949\n",
       "6 XOM    Comp.1    0.35451723"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(tidyr)\n",
    "loadings = sp_pca$loadings[,1:5]\n",
    "loadings <- as.data.frame(loadings)\n",
    "loadings$Symbol <- row.names(loadings)\n",
    "loadings <- gather(loadings, \"Component\", \"Weight\", -Symbol)\n",
    "head(loadings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:45:54.112596Z",
     "start_time": "2019-04-29T03:45:53.592Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAALQCAMAAACOibeuAAAC+lBMVEUAAAABAQECAgIDAwME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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=6)\n",
    "ggplot(loadings, aes(x=Symbol, y=Weight)) + \n",
    "    geom_bar(stat='identity') + \n",
    "    facet_grid(Component ~ ., scales='free_y')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### K-Means Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:47:42.150685Z",
     "start_time": "2019-04-29T03:47:42.093Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "List of 9\n",
      " $ cluster     : Named int [1:4520] 1 1 1 1 1 1 1 1 1 1 ...\n",
      "  ..- attr(*, \"names\")= chr [1:4520] \"3\" \"4\" \"5\" \"6\" ...\n",
      " $ centers     : num [1:4, 1:2] -0.097 -1.098 1.694 0.49 -0.12 ...\n",
      "  ..- attr(*, \"dimnames\")=List of 2\n",
      "  .. ..$ : chr [1:4] \"1\" \"2\" \"3\" \"4\"\n",
      "  .. ..$ : chr [1:2] \"XOM\" \"CVX\"\n",
      " $ totss       : num 4575\n",
      " $ withinss    : num [1:4] 398 518 279 284\n",
      " $ tot.withinss: num 1479\n",
      " $ betweenss   : num 3095\n",
      " $ size        : int [1:4] 2716 453 163 1188\n",
      " $ iter        : int 3\n",
      " $ ifault      : int 0\n",
      " - attr(*, \"class\")= chr \"kmeans\"\n"
     ]
    }
   ],
   "source": [
    "set.seed(1010103)\n",
    "df <- sp500_px[row.names(sp500_px)>='2011-01-01', c('XOM', 'CVX')]\n",
    "km <- kmeans(df, centers=4, nstart=1)\n",
    "str(km)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:47:50.975927Z",
     "start_time": "2019-04-29T03:47:50.933Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>XOM</th><th scope=col>CVX</th><th scope=col>cluster</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>3</th><td> 0.08495444</td><td> 0.02916834</td><td>1          </td></tr>\n",
       "\t<tr><th scope=row>4</th><td> 0.06796355</td><td> 0.05833669</td><td>1          </td></tr>\n",
       "\t<tr><th scope=row>5</th><td> 0.03437781</td><td> 0.04427162</td><td>1          </td></tr>\n",
       "\t<tr><th scope=row>6</th><td>-0.01718890</td><td> 0.02951441</td><td>1          </td></tr>\n",
       "\t<tr><th scope=row>7</th><td> 0.15470012</td><td> 0.08854323</td><td>1          </td></tr>\n",
       "\t<tr><th scope=row>8</th><td> 0.00000000</td><td>-0.02951441</td><td>1          </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & XOM & CVX & cluster\\\\\n",
       "\\hline\n",
       "\t3 &  0.08495444 &  0.02916834 & 1          \\\\\n",
       "\t4 &  0.06796355 &  0.05833669 & 1          \\\\\n",
       "\t5 &  0.03437781 &  0.04427162 & 1          \\\\\n",
       "\t6 & -0.01718890 &  0.02951441 & 1          \\\\\n",
       "\t7 &  0.15470012 &  0.08854323 & 1          \\\\\n",
       "\t8 &  0.00000000 & -0.02951441 & 1          \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | XOM | CVX | cluster |\n",
       "|---|---|---|---|\n",
       "| 3 |  0.08495444 |  0.02916834 | 1           |\n",
       "| 4 |  0.06796355 |  0.05833669 | 1           |\n",
       "| 5 |  0.03437781 |  0.04427162 | 1           |\n",
       "| 6 | -0.01718890 |  0.02951441 | 1           |\n",
       "| 7 |  0.15470012 |  0.08854323 | 1           |\n",
       "| 8 |  0.00000000 | -0.02951441 | 1           |\n",
       "\n"
      ],
      "text/plain": [
       "  XOM         CVX         cluster\n",
       "3  0.08495444  0.02916834 1      \n",
       "4  0.06796355  0.05833669 1      \n",
       "5  0.03437781  0.04427162 1      \n",
       "6 -0.01718890  0.02951441 1      \n",
       "7  0.15470012  0.08854323 1      \n",
       "8  0.00000000 -0.02951441 1      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df$cluster <- factor(km$cluster)\n",
    "head(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:48:00.680506Z",
     "start_time": "2019-04-29T03:48:00.645Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>cluster</th><th scope=col>XOM</th><th scope=col>CVX</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>1         </td><td>-0.0969933</td><td>-0.1202158</td></tr>\n",
       "\t<tr><td>2         </td><td>-1.0982621</td><td>-1.3310621</td></tr>\n",
       "\t<tr><td>3         </td><td> 1.6939494</td><td> 1.8699362</td></tr>\n",
       "\t<tr><td>4         </td><td> 0.4898142</td><td> 0.5514544</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       " cluster & XOM & CVX\\\\\n",
       "\\hline\n",
       "\t 1          & -0.0969933 & -0.1202158\\\\\n",
       "\t 2          & -1.0982621 & -1.3310621\\\\\n",
       "\t 3          &  1.6939494 &  1.8699362\\\\\n",
       "\t 4          &  0.4898142 &  0.5514544\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| cluster | XOM | CVX |\n",
       "|---|---|---|\n",
       "| 1          | -0.0969933 | -0.1202158 |\n",
       "| 2          | -1.0982621 | -1.3310621 |\n",
       "| 3          |  1.6939494 |  1.8699362 |\n",
       "| 4          |  0.4898142 |  0.5514544 |\n",
       "\n"
      ],
      "text/plain": [
       "  cluster XOM        CVX       \n",
       "1 1       -0.0969933 -0.1202158\n",
       "2 2       -1.0982621 -1.3310621\n",
       "3 3        1.6939494  1.8699362\n",
       "4 4        0.4898142  0.5514544"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers <- data.frame(cluster=factor(1:4), km$centers)\n",
    "centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:49:35.742590Z",
     "start_time": "2019-04-29T03:49:35.126Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 99 rows containing missing values (geom_point).”"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAIAAAD2dYQOAAAACXBIWXMAABJ0AAASdAHeZh94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\nXxCwo0cHAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=5, repr.plot.height=4)\n",
    "ggplot(data=df, aes(x=XOM, y=CVX, color=cluster, shape=cluster)) +\n",
    "  geom_point(alpha=.3) +\n",
    "  scale_shape_manual(values = 1:4,\n",
    "                     guide = guide_legend(override.aes=aes(size=1))) + \n",
    "  geom_point(data=centers,  aes(x=XOM, y=CVX), size=2, stroke=2)  +\n",
    "  theme_bw() +\n",
    "  scale_x_continuous(expand=c(0,0), lim=c(-2, 2)) + \n",
    "  scale_y_continuous(expand=c(0,0), lim=c(-2.5, 2.5)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:50:18.246034Z",
     "start_time": "2019-04-29T03:50:18.052Z"
    }
   },
   "outputs": [],
   "source": [
    "syms <- c( 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP',\n",
    "           'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST')\n",
    "df <- sp500_px[row.names(sp500_px)>='2011-01-01', syms]\n",
    "\n",
    "set.seed(10010)\n",
    "km <- kmeans(df, centers=5, nstart=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:50:19.600008Z",
     "start_time": "2019-04-29T03:50:19.579Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>861</li>\n",
       "\t<li>2297</li>\n",
       "\t<li>183</li>\n",
       "\t<li>292</li>\n",
       "\t<li>887</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 861\n",
       "\\item 2297\n",
       "\\item 183\n",
       "\\item 292\n",
       "\\item 887\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 861\n",
       "2. 2297\n",
       "3. 183\n",
       "4. 292\n",
       "5. 887\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  861 2297  183  292  887"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "km$size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:53:01.811341Z",
     "start_time": "2019-04-29T03:53:01.765Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>Symbol</th><th scope=col>Cluster</th><th scope=col>Mean</th><th scope=col>Color</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>AAPL      </td><td>Cluster 1 </td><td>-0.1822400</td><td>FALSE     </td></tr>\n",
       "\t<tr><td>MSFT      </td><td>Cluster 1 </td><td>-0.1644659</td><td>FALSE     </td></tr>\n",
       "\t<tr><td>CSCO      </td><td>Cluster 1 </td><td>-0.1839093</td><td>FALSE     </td></tr>\n",
       "\t<tr><td>INTC      </td><td>Cluster 1 </td><td>-0.1844095</td><td>FALSE     </td></tr>\n",
       "\t<tr><td>CVX       </td><td>Cluster 1 </td><td>-0.2333523</td><td>FALSE     </td></tr>\n",
       "\t<tr><td>XOM       </td><td>Cluster 1 </td><td>-0.2336868</td><td>FALSE     </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       " Symbol & Cluster & Mean & Color\\\\\n",
       "\\hline\n",
       "\t AAPL       & Cluster 1  & -0.1822400 & FALSE     \\\\\n",
       "\t MSFT       & Cluster 1  & -0.1644659 & FALSE     \\\\\n",
       "\t CSCO       & Cluster 1  & -0.1839093 & FALSE     \\\\\n",
       "\t INTC       & Cluster 1  & -0.1844095 & FALSE     \\\\\n",
       "\t CVX        & Cluster 1  & -0.2333523 & FALSE     \\\\\n",
       "\t XOM        & Cluster 1  & -0.2336868 & FALSE     \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| Symbol | Cluster | Mean | Color |\n",
       "|---|---|---|---|\n",
       "| AAPL       | Cluster 1  | -0.1822400 | FALSE      |\n",
       "| MSFT       | Cluster 1  | -0.1644659 | FALSE      |\n",
       "| CSCO       | Cluster 1  | -0.1839093 | FALSE      |\n",
       "| INTC       | Cluster 1  | -0.1844095 | FALSE      |\n",
       "| CVX        | Cluster 1  | -0.2333523 | FALSE      |\n",
       "| XOM        | Cluster 1  | -0.2336868 | FALSE      |\n",
       "\n"
      ],
      "text/plain": [
       "  Symbol Cluster   Mean       Color\n",
       "1 AAPL   Cluster 1 -0.1822400 FALSE\n",
       "2 MSFT   Cluster 1 -0.1644659 FALSE\n",
       "3 CSCO   Cluster 1 -0.1839093 FALSE\n",
       "4 INTC   Cluster 1 -0.1844095 FALSE\n",
       "5 CVX    Cluster 1 -0.2333523 FALSE\n",
       "6 XOM    Cluster 1 -0.2336868 FALSE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers <- km$centers\n",
    "centers <- as.data.frame(t(centers))\n",
    "names(centers) <- paste(\"Cluster\", 1:5)\n",
    "centers$Symbol <- row.names(centers)\n",
    "centers <- gather(centers, \"Cluster\", \"Mean\", -Symbol)\n",
    "centers$Color = centers$Mean > 0\n",
    "head(centers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:53:04.579673Z",
     "start_time": "2019-04-29T03:53:04.101Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAAC+lBMVEUAAAAAv8QBAQEDAwME\nBAQGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMVFRUWFhYXFxcY\nGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYoKCgpKSkqKior\nKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9\nPT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5P\nT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBh\nYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJz\nc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISF\nhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaX\nl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKip\nqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7\nu7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzN\nzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f\n39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx\n8fHy8vLz8/P09PT19fX29vb39/f4dm34+Pj5+fn6+vr7+/v8/Pz9/f3+/v7///8rgA8PAAAA\nCXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2dfXwU1b3/c+/PX6u3D79729vevURbaa5K\nLly6qPRHVaqFVnQJCDEIyIMhKtTycHlQaDFCKFWKPwREMT4EFIGgEkHA8KAhVAkPDQYCIStY\nEWmv9OxTNpukgYTM6/Xb3ezuzOyc8z1nZ3Y2+/D9/EGG+c6c7zln3jvnzMz3nJMloVAmKKun\nM4BKTyFYKFOEYKFMEYKFMkUIFsoUIVgoUxQDWF2vF04q7dRuo1BaxQDWxgc+PjzhJe02CqWV\nOFid43dJ0oH726O3A1owPEq2e23Ru4Stw++9V7+Vl7QBxzZDjk0rU2Id//yXw0DNjx2ss7aL\nktRiOxG9HdDD56MObiGXgKQ6iA/y5HBBVi+5AljbSBtg7SReKGmXE7I2kw7A2k5aAWsXaYKS\ndhPI6iOXAetl0gKdTNyQ1UO6AGur5ipWW5+xAzplLQofKQ7WUVugT5V/IGr74l6/Jp9tV6uJ\n+NrZaiFNgLXd4YSsHtIGWJtJM2BtJW4oaacDdtwCOvYC1jbYsYtA1ibQcQvouJ2AlekCK9Or\nuYr7TACr6r7AvxN3Rm1/aPXr/uMElQl6z7w7VnXU9hfr/JrwaWtAf6ertVXAyjDDVrGkM8+x\naUnvNQGsszZ/R6At3MeStwMK9bEYWQodBFsZZtgqlnTmOTYtaTP6WJ3j90rSofy26O2AEKzk\ncpxSYEkbJp46XfSyJFVuk7dDQrCSy3FqgdW1/qFJL/v7VsWz5O2QEKzkcpxaYAFCsJLLcaLA\nqt+9uarBTLAKT3kCYmTJ4xGwMsywVSzpzHNsWtLvK8E6NC3bYrHkLDhmHlhFn3cGxMhSZ6eA\nlWGGrWJJZ55j05KuUoBVN7Dfsh0Hty3KHXrKYB9LFdHQOVbx4QWbwuRynJCmcGbfI8G/Nf3m\nGwNLFdFwab0NwUpaxwkBa/DS0MbSIYbAUkU0bB9pQ7CS13FCwPrhxtDGpt6GwFJFNHjOHUCw\nktdxQsAasDK0sdxqCCxldINfZxCs5HWcELCKbq0J/t1vnWYILGV0gySDpYxuYGQp9GUctjLM\nsFUs6cxzbFrSyuiGmv45k+rs9mXZdxzWC9ahgoKC88roBgVYR8f79cBJd0CMLLndAlaGGbaK\nJZ15jk1LepfyPdaxeXf671lrV9Trfo/VdvHixY6oiAZsCpPYcUp90omKaECwkthxSoGlim5A\nsJLacULAssgyBpYyugHBSmrHCQGrQpYxsAAhWMnlODFNYWNdUIabQkBTzrQFxMhSW5uAVSGH\nU7vPSNIcx3qsSe7YtKSVMe9v5qrbQVPAsvsCYmTJ5xOwKkQc2n1GkuY41mNNcsemJb1bAdbA\nvPLKgMwEKx5NoSzagFUjSXMc67EmueOENIW9d8bpqVAZNtP8/MSCRRciJgSLUybqSGgTHZuV\ntBKsu9+IE1jKsJlnio6eenJiZKA8gsUpUzqCVXn7c5Uf+mUULGXYjM92RJJaR1eFbQgWp0xx\nB0sWde4Gs8pEe49lFCxl2Mz5WV5/ZY3bGrYJTQoiWlM6wJJFmxSEc65otmiTgohmKx3BOhKS\nUbCiwmYk6Y+20/5/Tz7u17jTXrVcxOONFiPDmuO8xKHdJ3qym7hjPVc0W8bK5BQtU6xJeygl\nNpQ0ZK1UvscqL7cf33TAcB8rKmymsyJvdeCv+KQgjAwLnGnwZM65PZUtQ7EtJiYNWZVhMyWW\nhfahluzXDIBFCZs59+v87cGplVov+FX4eadazaStM1qMDGuO63S4tPtET24hLbGeK5otL7mk\nO1sdxCNapliTbic+bdKySMyVCVmVo3R+vNi+7fqqGbcZAEsbNnPivhJlRwj7WJyTdUy8Jpq0\njonX4KQhq7KPde179ukT7Nt+YPypUA6bufzgWtVMcAgW5+R0BKtvaePAVY2L+hsFSxk2c9T2\nQeB54KuwCcHinJyOYE3vn3/D8VJLiWGwFGEz79qC2hE2JTdYsqhzkIpmK1PAkgXPQXpyXv56\ne9Xbhp8KIT38RZdaPtLeFS1GcTTHdTlc2n2iJ7eSVu3JEXUQr2jS2uOayWXd2bpCmoBsdbmJ\naLa0SV8iLVDSxK0/6RbNVdyviSBtGGwmWIX1LrUcxOmKFqM4muNchGj3iZ7sJA7tybBVNFvG\nygRly5+0aLZoSWuzpbQaqszopHcqwFp9T2D+7bstw4aZeMfCphA+OR2bwhsLi/1aaCkuNtrH\nUkQ3uJ4e++BK+SIhWBkIVn5wvGrDvYabQkV0Q9cTc+prH346YkKwMhAse2Pl2tJ9qg6X4eiG\n/7F9Jkl/HBGZ0wjBykCwaodbcizZY44bBUu15Ml8fx2fyIueNVkWgqVWOoI1ZdDu6pxDQx4z\nClZUdEOX++niwF/xJU8YxdGutEFb8kT0ZB1Lnohmi7bkiWi2dCx5Ipq0jiVPRJOGlzzJ3WCv\nzrFvNvzmPSq64Te28Z7A3xSIbtCVdJJmq4eTVkY35GwJgFXR2wBYtElBiP3ZyYF7sHLJE1ke\n0twaLUZxNMe1Eqd2n+jJXtKkPTkiH3GLJq09zk18BsrkArLV6iSi2dIm3QyW2FBlNmmuonL4\n1+iRtdU5pwpGGgBLE91w0d93lzpHHwwfgH0szsnp2MeqGjCpulefPnuMPxXK0Q17x/vvXm0j\nDodtCFYGgmU/uad2SVmt4dcNyugGV8GKxpNPFUZKhGBlIlhaGZ8U5PS8/PFL/xoxZSxYsuK+\nwmrSg3VdSIbBAoRgZSBYW/wqmzeowkywCpN6lI6sptgHy8BlEnVMHaUjy0FEsyU4Skfh2FBl\nRpe4UtMUzrKZCVbR5x1qNZPWjmgxiqM5rsPh1O4TPbmFtGhPjugSaRJNWntcE2kHkm4hPsB6\nmXgAa4eLiGZLm6820gwlTVz6k/ZpruKHGrDK8433sVRLnkinh8stFjaFGdgUxq3zrlryRGor\nsiFYCiFYesFSLXkiSc8/li5gyXI5ISuCZQ5YqiVPpMOTPkGwlEKw9IKlim7wjK89EytYsjqI\nD7AiWEFlDFjK6IaukhfC0yb/8Wd+FZxwqEWIAxLHSjEz6kLs5Pjki4Anw1Yd2RIvMZRynJPe\noQXr0FL9YGmiG/YVtYXBUi55IstJXG62XMQJWN2EaPcx6iLGpF3EATl2gFa4TE5OmWDHppVY\nh2NZ2hLv0oJVeW0clzxZY8vLG24bvjJ8ADaFKdUUyvKQLsAKN4Xbu/WiZU6DXrCCUkY3OM6d\nO3fAdiJSHQhWBoIlL0xxoyGwopY8kbDzrlLmgVUjyxhY6iVPECy1Mg+seD0VQkKwECxTwCoS\nGaWjHFjSBA0sSfAoHVlOB2SljdJROoYGyyTXKB2l4zbACo/SSQRYoSVPZLlJk3bZkoi8xA1Y\ndSx5IstDPEDKzcQFOXZSHMtyEy9gbQId+ziOiXafaIm9HMfOWB3L8mhKvDvtmkJZXnIFsGJT\nGKXUbgoRLAQLwWILwVILwZKVPmDJ8pHLgBXBkoVgRQnBYujhXz+u1pyZcx9na97M2YD18Vmz\nIOvsmfMA65yZc3rG8VzQ8eMz/xuy/vdM2DFUmSY61l7Fh6x50wBNjTtYVhQqoOL4gtXShMoM\nuTj2SDclPmChUFFCsFCmCMFCmSIEC2WKECyUKUKwUKYIwUKZoviAtVbzOng2+OZ9NviyeDb4\nenzObPAFeAY6hpPmOI6xTFMemQFqbXzBKtxxWK1DBw8dZgu2Hj54ELIe4lhhxzXQyTWg1ViZ\nYMeGypRAx69Yn6gEtAM/QlOFH6HVSoKP0AgWgpWaYP0DXZrjEKwoIViyECy1ECxZCJZaOsAS\nLTGCJQvBilJmg6We3LZzrOLyI1gIln6wVJPbXlpvQ7CUykiw6ndvrmowCpZqctvtI20IlkoZ\nCNahadkWiyVnwTFjYKkmt/WcO4BgqZR5YNUN7Ldsx8Fti3KHnjIEVtTSveFZjE4GviCNE1ny\nRFYTccW6SgejmimrdMS85IksB8WxrAQveSJaYh1LnsCOZcFLnszseyT4t6bffENgRS3dGwZL\nfOleQ2JUs9lue1BJWWLl0r2Dw7PaLh0SjztWeOneMFgdgbEZRV90qeUj7V1sXSY+wNrlcGn3\nMapZc1wraQVS7iBeyLHLCVmbyWXA2kZaAOsV0gQl7SbafaIlvgQ67iJuyOohVwBri+Yq7leA\n9cONoY1NvQ2BpZzcVlJP6JfafSzBlNOojyWaNNzHGrAytLHcavCpUJ7cVkKwopV5YBXd2j33\n6H7rNENgRU1ui2CplXlg1fTPmVRnty/LvuOwMbDUk9vGDpZocRAsIFtJBJb92Lw7/festSv0\nLyDAFYKViWBphWDxk9Yeh2AhWCwhWDElLboyhQXBijdYotlKR7AqZCFYCFYsSXOawsa6oMxs\nCqecaVOriTS3RYtRHM1xbQ6ndp/oyV7i1Z4cUQtxiyatPc5DfPrLRHMsy0lEs6VN2keaoKSJ\nocqMLvFeBVhv5qrbQVPA+rRVLQ9pbo0Wozia41qJU7tP9GQvadKeHJGPuEWT1h7nJj4DZXIB\n2Wp1EtFsaZNuBktsqDKbNFdRCdbAvPLgYELsvGNTGGPScFPYeyc+FYaVPmAJV6Z5YN39BoIV\nlg6w4nN90xGsytufq/zQr3QGSzTpBIMlXOK4g2WkTLLE3mMlAKw4VTOCZThpI2WSBYN1JCTD\nYCmHf6mHgiFYBkuckmDZy8vtxzcdMN7HUg7/Ug0FQ7CMljglwSqxLLQPtWS/ZhQs5fAv1VAw\nCcEyWuKUBOvHi+3brq+acZtRsJTDv1RDwSQEy2iJUxKsa9+zT59g3/YDo2Aph39FDQVDsAyW\nOCXB6lvaOHBV46L+RsFSDv9SbCuHfzEyHBo6BFs5SnjS8XDccyU2UiZIyuFf0/vn33C81FIS\npztWddR23VS/xp7yqOUkbg9bbuLS7qQvKKo9zkmAlD0uStKMtUq1JzscUNJwmWiOFSJO7T7x\nEsdcmQrHYJkclMqEqut9BVgn5+Wvt1e9bfipUDn8K2ooWFwGUwiuVKtjqkjRRXATPcReNFsJ\nnngNqi5tBGnDYONPhfLwr6ihYAhWJoK1+p5hft1tGTbMGFiq4V/h7ZAQrAwE68bCYr8WWoqL\nDYKlHP4V3g4JwcpAsPKD41Ub7hVpCr8W0jdzfvrUV1CGooRgpRFYsnihyZVrS/epOlxMsP5w\na1bu/WP6Zd214IGrv3kWypFaCFYGglU73JJjyR5zXASsTVfvCjja/a0q6avr8qAcqYVgZSBY\nUwbtrs45NOQxEbBumdr99+GfSdJz10E5UgvBykCwcjfYq3Psm4XevH/zqe6/v/mWJJVdDeVI\nLQQrA8HK2RIAq6K3CFg/7ResndbcgZI07iYoR2ohWBkI1uiRtdU5pwpGioC18x+tb37yyZvW\nrLd9k7OWQzlSqxA/6aTPJx1ZLo1j5SedqgGTqnv16bNHBCxp479n+fXdV6T/+fpM6GcSpaLP\nO9VqJm2dbF0izYC10+GCrE3kMmBtIS2afQywtCe7nJBjL7kEWFuJD7B2EI92p2i2mkk7kHQ7\n6LiTgJXpJh2A1ae5ilXK1w0n99QuKasVet3gb0qqXnlhr9ffWkE3do1wWbkMbAopSsG1dGQh\nWGr1GFjXhSQClnty9ne6BeVGKwQrA8Ha4lfZvEEVImA9lHVr0SNBQbnRCsHKQLC6NcsmAtZ3\nCyA/bCFYGQtWeb4IWFe/LLHVo8vKyUKw1EqJzvtdUwE3PbqsnCwES62UAKvh+88zy9Czy8rJ\nQrDUSgmw8m7JuqZPYNiNVeulZ5eVk4VgqZUSYP0iIq0XxrJyF/f6Nflsu1pNxNfOVgtpAqzt\nDidk9ZA2wNpMmgFrK3FDSTsdsOMW0LEXsLbRHNPB0h7XBDpuAR23E7AyXWBlejVXcZ8CrN+9\nHlyncPcxAbAg9eyycukoOlg9nStQ76mmMcot9/8ZbBlfqxesQwUFBecZy8p9sc6vCSJzkMry\nEU+s02bKcpMWwKpjDlJZTgfsWDsHqahj6hykdLC0x8GVqWMOUlkusDLhOUgtK6ddV2m3Hykb\n8AgIVta3JckakQqstosXL3b07LJysrCPpVaP9bEs606P+mlgqfH1fUGwvpcD97F6dlk5WQiW\nWj0Ilv1g7yX+jbdzDPWxenZZOVkIllo9CZZ9aXbp6bq8kSBY6l4axY3RZeVkIVhBpQFYpwst\nN16fuxfuY6kE5UYrBCsDwXp6v/+fxncWrZZj/ahg/cGvZT/4x2FPLLD94+D3odxohWBlIFgU\nMftYq645FPhz+JrVUG60QrAQLBCs/uFxhT+GcqMVgoVggWB9Y0H337nfhHKjFYKFYIFg3XJD\nc+BP048GQbnR6uEvutTykfYuti4TH2Dtcrggq5d0AtZW0gpYO4gXStrlhKzN5DJgbSMtgPUK\nadLupIOlPc5HLgFJXwIddxE3ZPWQK4C1RXMV9+sE642s/m99+umWflmbYwOr8KRbLSdxudly\nESdgdRMCWZ2gFU7aRRzQyQ7QCpfJySkT7JhTYiOVGVfHu/SO0nnmnwLvGr61IjausCk0YU1o\nWWnQFErSxS1L//AOWL80PbxynVovr3l1HVuvrSkFrOteeBGyvrSmDLC+suYV0PFLUNIvvgBZ\nS9e8Bjp+GbCWcRyvgR1Dlfkq6HjdGrAy14KVqb2KxdbJywE9w/uk88L9MYJlRaECmkkHq+v1\nSQV+5f/LtbGB1XAYlRnaexC2R3oxarBWZ33jmqzs72Rd+0FsYKFQUVKDlfufbeRrJ7o2/vMX\nPZQdVLpIDdY1cyXpZ69I0rCxPZQdVLpIDda3fidJcyZL0pPXUQ+WB6l2tgVkbtZQqSw1WANu\nbpM2fP+KNOFbtGMVg1TfsvkVw+y3qExT9Jv3f3N+dtWU5d8cSjlUOUj1uSWn/DI9d6iUVdR7\nrLdGEGn1/87qdYJyqHKQ6twKszOGSm3RXpD6TrRT9krKcORxJQ+NLbkQ2AouK/dytEpfKtXs\nU4hjfQmylnKsSeoYPDlpHWuSfub30Iv8desiEaLRYF358973z3ZKdEXA8tqK6449MTHwxa97\nwOqq9ahM0CLrwy8Aep75SacyN/AR+qZKDlidF/3seUftCxvwIzR+hAY/Qh++yrL4nYrF37/q\nKNWRamSOJE2NBNcgWAgWCNbQ64Il/MryS6qjCFhHf+Xxux39UdiQ3GAxlkDWnoxgqRU/sP51\nfvff2d+jOuoGq3Kb1DLxt0dPPDktUl4ESw9YotlKA7C+GwJrDgRWYMDquYX3P7hcvv4IVhqB\nBVWXwabwb73oTSFTCBaCBYLl77wvqahYYrnqCJQbrRAsBAsES6rsE3jdcGOMA6ERrAwFq373\n5qoGIbCkzrOVlZ+yXpAyhWBlIliHpmVbLJacBcdEwOrWS7GOK0SwMg+suoH9lu04uG1R7tBT\nwmD9JsbZZqYk9VSRjJrSnpzgqSJFs5XgqSKh6lJOFTmz75Hg35p+880D60ybWk2kuY2tFtIE\nWNscTsjqJq2A1Uu8mn2MmtKe7HRAjj3EB1ibKY4VIm7tPtFswY59cGUSsDJdlMqEqksJ1uCl\noY2lQ0wDK2ObQtGk07Ep/OHG0Mam3ggWgqWWEbAGrAxtLLciWAiWWkbAKrq1Jvh3v3UaCFa9\nQkUIllYIlhqsmv45k+rs9mXZdxwGwUrfOUgRLKYMvcc6Nu9O/z1r7Yp6+D3W4ypRsyEP/1Kv\nXZgAsESvIIIVpST5pANKMfxLtXYhgoVgGQFLMfxLtXahJAiW8PVFsNRKUrAssoyBpRj+pVq7\nUEKwzABLNOkeA6tClsGmUBGaLK9d2NHkV5HIHKSMDGunvqTNQSp6Mm0OUmHHsc9BKpo0dQ5S\n+FzRpOM+BynkWDUHaWNdUMb7WDJYirULxdcrZGRYbKE8Iycbcmxi0vC5JuZaT7a6HSvXK3wz\nV90OxvGOFVi78GTgGXLcaa9aLuLxRouRYc1xXuLQ7hM92U3c+h07KI7jVSanaJliTdpDKbHS\nMVgmBxHNVrfjSgVYA/PKKwMSAasgNB3DBw/DYEWtXYh9LF7S6djH6r1T8KmwhZCsd4M3vIuz\nr6FmQx6wql67EMHiJZ2OYN39hiBYxYoX7z+nZiMy/CuydmFICBYn6XQEq/L25yo/9IsLVs2K\nFVm/WhHUCxeo2ZCHf4XXLgwJweIknY5gRb/EgvpYd3wC5YItBIuTdKLBEi2xEbCOhBSHp0Km\nECxO0ukIlr283H580wF+H8sv9+Ts73RLmwdI8QArPtWMYAkkLcsIWCWWhfahluzXRMB6KOvW\nokeC0uYBEoLFSTodwfrxYvu266tm3CYC1ncLoDki2EKwOEmnI1jXvmefPsG+7QciYF39sqRL\nCBYn6XQEq29p48BVjYv6i4B111StbxEJrVfIyDBsFjw5ItrqfYYcGyqTLNqygeaVWLhMtPUK\nIcfK9Qqn98+/4XippUQErIbvPw+F/jAltMIqI8Px/davI7pBMOWUim4wkjRkVUY3nJyXv95e\n9bbQU2HeLVnX9AkuDxYjWKncFAqmnFxNoaEy6U9aG0HaMFgErF9EpK0GSAgW5+R0BGv1PcP8\nutsybBgfLL1CsDgnpyNYNxYW+7XQUlwsAlZT5et/8UGzqlCFYHFOTkew8oPjVRvuFWkKpeev\nycqq2vu9jdpaAIVgcU5OR7DsjZVrS/epOlxMsLZm3fZaVtWXg7NoU/opxxJGLSuHYHFOTkew\naodbcizZY46LgPV/+1xyZ1VJHTfdrq0G1VjCqGXlECzOyekI1pRBu6tzDg15TASsf3pKCoAl\nzf22thpUYwmjlpVDsDgnpyNYuRvs1Tn2zUJv3rOf6AZrRi9tNajGEkYtK4dgcU5OR7BytgTA\nqugtAlb+v7sCYF34zghtNSjGEiqXlfvLO35NPMOdC447sZ4eq3b6Ox0z+gmmTJ1YTzRbOmb0\ng5M2VCb9SStn9Bs9srY651TBSBGwPv/2db/Jmjv3/1zdqAVLMZZQu6zccYGhcLDVxFF2hhwb\nSlrPyWJJGyqT/qSV4wqrBkyq7tWnzx6h1w2nhgWGUtxGW/xLMZZQuawc3rGETk7DO5b95J7a\nJWW1Qq8b/Gr+5KiHgpV2LCFlWTlGlkIHwVbsY8VUYkNl0p+0GbPNKMcSMpaV67G6kIVgmZq0\nEqzrQhIBC4x5D48lZC8r12N1ISupwDKxxD2UtBKsLX6VzRtUIQIWGPMeHkvIXlaux+pCFoJl\natLapnCWTQQsgzHvSVkXCFYck9aCVZ4vApbBmPekrItMdJx0nXe9Me8IVnI5TjqwdMe8I1hJ\n5TjpwDIY856UdZGJjpMOLL0x70WfdwbEyFJnp4CVYYatYklnnmPTkq5SglWzMjBxw3tVjXyw\n9Co0rpCRJbGBcnqsYklnnmPTklaOK9yac1NgTr9hlmE1AmBd+fPe98/qXbqXkaXQQbA1HVuk\nHnOckKbwF5ODy0GffO+uMXywKnMDH6FvqmQAxBKClVyOEwJW7wq7/aN7/O1g+Q1csA5fZVn8\nTsXi719FC28AhGAll+OEgHXTW3b7uxZ/M7ghlwvW0OtI4M9Xll/SAWIJwUouxwkBq2BkXcOk\nmx4oL735IS5Y/zq/++/s79HwYQvBSi7HCQHrw/7Z1//Xobzs7Af+xAXruyGw5iBYKe04Me+x\njpW9csxuP35K4D1WqCn8Wy9aU6gcV0hfrzAp6yITHSfdC1J/531JRcUSy1VHJK2U4wrp6xUm\nZV1kouOkA0uq7BN43XAjbSC0clwhY73CpKyLTHScfGBJnWcrKz+lviBVjitkrFeYlHWRiY6T\nEKy/vv7UgrLo4adBKccVKrbrpvo19pQnIEaWPB4BK8MMW8WSzjzHpiX9vk6wup78eqAp/NpC\nSiCpclyhrvUKUamv93SC9VLWbbu/+tueQVmUSFLluELFtvgKq7IuEx9gpa6wKstLOgErbQ5S\nWR3ECyUd+wqrstrAhU6pc5DKchPI6iOXAGvcV1iV1aK5ivt1gjWgb3AoQutNN2vBUo4r1KxX\nuHmvWju2vr+XrcqtOwDr3q3vQtbtW/cA1l1bdwHW3Vu3Q0m/WwFZ39taCTreCVj3cBxvhaw7\nQMeGKnMbWJk7NVdxlfWx1wGVscD6xm+7/z7+DS1YynGFmvUKrShUQJHYdjVYPw0B9xDljqUc\nVxi9XmHlOlRm6NkXYftpOlibv97dN//aGxSwlOMKo9YrRKGipAbrxTuybimaentWdmAF8cd7\nKEuodJAarP+lUg9lCZUOik/MOwoVJQQLZYrUYJ0f3UvXCqsoVJTUYP0y66fAbDPseCwUKkpR\nL0ihJXuBeKyGw1Gq+fhQ9C6FDn1cA1gPf3wQsh7kJG3E8ceQlVcmyMotkxHHhioTslLKtHsX\ndMLhw5Ep2tVgXb+WzRUYjzX/d2otWljyO7ZKFi4CrL9b+CRkfWrhEsC6eOFiwLpk4VNQ0k9y\nHENlWswpUzFkLV4IWY1VZlwdP2bNnwdoDuuTzszb2c2bQDyWLNo877I6iA+wSg4XZPWSK4CV\nNvGarE7ihZKOfeleWe2kFbBSp4qU5SaQ1UegmVqoS/fKIm7ISlu6V1ar5irqjce6NGDA8rKg\ntF4E4rFkOYnbw5abuACrhzggq5NAVheYtJs4oZMdHMdQmWDHHo5jsEwmVibs2KVxrDce662r\nskLSgiUQj/V3ukKxPLCVYYatYklnnmPTktYbj/VfvbbZzwTFvGNFx2MFFWoKGVkKHQRbGWbY\nKpZ05jk2LWm9TeG3VklMgfFYCFZSOU46sO5aHI2TLDAeC8FKKsdJB9bR7KponmQB8VgIVnI5\nTjqw8v4j69/6BKXBCozHQrCSy3GiwKrfvbmqQQSseyLSYAUKwUoux4kB69C0bIvFkrPgGB8s\nvUKwkstxQsCqG9hv2Y6D2xblDj0lAJa+qSKLzrYHxMhSe7uAlWGGrWJJZ55j05LepwBrZt8j\nwb81/ebzwdI5VfrJbGEAABotSURBVOSUxuaAGFlqbhawMsywVSzpzHNsWtK7FWANXhraWDqE\nC5bBqSIZWQodBFuTtUWSRftWaKLjpExa2RT+cGNoY1NvLlgGp4rssbqQRfsIbcixLARLDdaA\nlaGN5VYuWAaniuyxupCFYJmatBKsolu753ffb53GBQucKlIZNdoZXCE4YkKwOCdTw2aMlDhO\nZaKFzUBJK8Gq6Z8zqc5uX5Z9x2HRppA+VaQyavQtm195EROCxTk5HcGyH5t3p/+etXZFPf89\nFjRVpCpq9Lklp/yK2BAszslpCZZWuqaKVEWNzq1Q2RAszskZDxYwVaQyglQaV/LQ2JILgS1l\nBCkjS6HoQ9jKMMPWv3uiRQvkFD1XRwSpcNK0CNL4lJgaQSpcYkoEKeRYGUFqkcUFK/BrJx/T\nw9WVEaReW3HdsScmBiLXkyKCFJaRc81M2rwSc5LWXyZlBGmFLBiszuW5JYE7U9Y1c6Kak0MF\nBQXnlVGjnRf9295R+yT1jH6MLIVmg4OtDDNs/XtXtGgz+omeq2NGP9GkqTP6xafE1Bn9REtM\nm9EPcqya0a+xLiheU9gxJOtfygN3rHn/kXWzujfRdvHixY7oqFFJmro5vJXSfSxZsY/SEU06\n7n0sWdRROqIlNtLHejNX3Q6ywFqTVRQaJ3h5btZKbR6UUaNHf+WRpNbRH4VtCBYn6XQEa2Be\neWVAPLBu+VGk3jpv/Kk2D8oI0paJvz164slpkeFuCBYn6USDJSv2cYWQY9V6hTvFngr/eYqc\nduG/UjKhjCA9t/D+B5fL40oRLE7S6QjW3W+IgfVPj8ppT7kayo1W5oMlK/aR0KKXKLnAkpXg\nkdBQmZRgVd7+XOWHfvHA6vtfctp9b4Jyo5XQEHsES+hk7XFJClb0SywWWCVZkXH167KegHKj\nVdGfL6vlJa2Xo8XIMGzWpHLZQy5pd0bkI75YHctyOoGULzeRNt1JXyIebYKi2aJVpqxW0gzl\nmrggq5tSmVCZPlSAdSQkHljN119V7Ahs+J7++ncdsYEViiCV5SZNzdFiZFgs6FGWi3i1OyPy\nEE+sjmU5HEDKfscxl0kWcWn3iZdY61hWE3FDuSZgmZxENFvaCFJ7ebn9+KYD3D6WdO6WrKtv\nKXhw0LezfvRJbFxhU8hLOh2bwhLLQvtQS/ZrXLCkrvfu+resrG/f/CJUDqoQrAwE68eL7duu\nr5pxGx+sYCEc0IRJLCFYGQjWte/Zp0+wb/uBGFigOseGX13R14SWlSlgydIx8VqKg9W3tHHg\nqsZF/Y2DdWm9LQwWfU1oWQiWWukI1vT++TccL7WUGAZr+0hbGCzGmtCyECy10hGsk/Py19ur\n3uY/FfLkOXcgDFZqzUGKYDFlPIK0YXAc+lhnwmCl1hykjJrSnpzgOUhFs5XgOUih6lJGkK6+\nZ5hfd1uGDYsfWKm1JjSjpno6W4bCPBOeLW0E6Y2FxX4ttBQX6wYrGEFKuWOlyJrQjJrSnpzg\nNaFFs5XgNaGh6lJGkOYHx6s23GugKQxGkCrBYsxBKgv7WGqlZR+rsXJt6T5Vh8twU8iYg1QW\ngqVWOoJVO9ySY8keczxuYLHnIJWFYKmVjmBNGbS7OufQkMfiBhZ7DlJZCJZa6QhW7gZ7dY59\ncxzevLOFYGUgWDlbAmBV9EawECyNjIA1emRtdc6pgpFmgiUUQSqrjXihsEYHGMiZVBGkslrA\nQM5UiiCV1axxrIwgrRowqbpXnz57zARLKIJUltdI0GNSRZAqHcNlSp0IUlkejWNVBOnJPbVL\nymrj8bqBKWwK06gplBW/9Qr1CsHKQLCuCwnBQrA0MgLWFr/K5g2qiANYcgQpfQ5SWQiWWukI\nVrdm2YyDpYggpc9BKgvBUit9wSrPNwyWIoKUMQeprKQCS1ZyLTaeFmDFofOuiCBlzEEqC8FS\nC8ECFYluYMxBmpCgx/RZxZ4OVqyOU2IVe1GwGHOQomISHayezhUovavYM6SJIGXMQaoMekyi\nCFJZHcQLJY0RpGq1aK6iag5S+8ePrGw0BJYmgrRbmjlIZWEfS6307GNVWgaMPhTXppAxB6ks\nBEutNAUru+6R3HVxA4s9B6ksBEutdAXLbn/jPx+pixNY7DlIZSFYaqUjWNu3v9hr+/btGwYN\n2GoULKYQrAwES17xpBeChWCpZQSsmpotvWq6ZRpYyR1BKqudFsgpCyNI1YIjSO32jwrtasUd\nrMLTXrVcxONlq4m4AKuXOCCrizQBVjdxg46dUNIOjmOoTLBjL80xHaxYHXs4jsEyOQhkdWsc\nV2KgH1XYFEYpSb4VMoVgIVgIFlsIlloIliwEK0oIlqxMAUuWm0BWBEsWgqUWgqVPDx+9oNaZ\n+s8vsPVF/aeA9cLJU5DVXn8esH5W/xno2A4lfeokZP20/gvA+uf6s4D1y/pGKOmGetjxOcB6\nrv4MdHJ9A2Q9Xf8lYD2ruYoV1if/CGh/3MGyolABxRmslx5HZYYeeQy274svWChUlBAslClC\nsFCmCMFCmSIEC2WKECyUKUKwUKYoPmC1NEXJ44neE4PZPGtqJp1MjgkB89IU+bwUpzfv949X\na+yYcePZGjdmLGAdP+YByPrAGMg6Fkx6nLGke6xMSeN4hPXnoyHhR2iq8CO0WknwERrBQrAQ\nLKYSDNY/UKU9LoPBmnKmTa0m0tzGVgtpAqxtDidkdZNWwOolXtCxG0ra6YCsHuIDrM2g4zaa\nYzpYsTr2wZVJwMp0cSoz2vHeRINl96nlJk0+trzEDVh9xAFZXaQZsHqIB7A2ExeUtBN07CZe\nwNoEOvbRHNPBitWxl+PYCVmdBLJ6NI53Y1NIFTaFUUr2phDBQrAQLLYQLLW4YNXv3lzVoBus\nrtcLJ5V2L3rZvW5A26XUWkBAFoIVJUNgHZqWbbFYchYc0wnWxgc+PjzhpeDmR7agVqTWAgKy\nEKwoGQGrbmC/ZTsObluUO/SULrA6x++SpAP3twe2mwLLBtSOOYoLCGiUeWDN7Hsk+Lem33xd\nYJ21XfSDYjsR2bGyDBcQ0CrzwBq8NLSxdIgusI7aAv2r/AOR/z/coVxA4OJevyafbVerifja\n2WohTYC13eGErB7SBlibSTNgbSVuKGmnA3bcAjr2AtY2mmM6WNrjmkDHLaDjdgJWpgusTK/m\nKu5TgPXDjaGNTb11gVV1X+DfiTtD/+2cdhAXEIiP6GD1dK5AKRcQGLAytLHcauSOVR36794Z\nXaoFBL5Y59eET1vV8pDmVrZ8xANYW4kTsrpJC2D1kibQsRtK2umAHft0O24lLu0+Olja4+DK\nbOY4BivTBVZmk8ax8pNO0a3dU0Tut07T2cci/q5LuI/VNX1XxIILCCiUeX2smv45k+rs9mXZ\ndxzW+VS4V5IO5Yeu1+kRgWLgAgIaZR5Y9mPz7vTfs9auqNf5HmvDxFOni14OLhwgSWXzArtw\nAQGNMhAsrWJ8877+oUkvd3YvHCD9an1wHy4gEC0EK2awBIRgZSBY8gICFgQLwVLLCFgVshAs\nBEstQ01hY11QZjaFGJqcgaHJb+aq20FTwMLQ5MwLTR6YV14ZEHbesSnUyEhT2HsnPhWGhWBF\nyQhYd7+BYIWFYEXJCFiVtz9X+aFfusFShCZHQpKV+6RkB4t+ASlXEMFSS+w9lm6wFKHJkZBk\n5T4JwZIyEawjIekFSxmaHA5JVu2TECwpE8Gyl5fbj286oLuPpQpNDoUkR4crI1gZCFaJZaF9\nqCX7Nb1gqUKTQyHJin0pEJrMAEt7MoYmqwWHJv94sX3b9VUzbtMLljI0ORySrNiXAqHJDLB6\nOlvJGpoMVZcyNPna9+zTJ9i3/cDgHSsYmhwOSVbsS4HQZEZNaU/G0GR2trrzpfyk07e0ceCq\nxkX99fexlKHJAU3dHL0P+1hp1MeCqkvZx5reP/+G46WWEv1PhXJocjgkWR2ujGBJmQjWyXn5\n6+1Vb+t+KlSGJkdCksP7QkKwMhCsbjUM1g2WMjQ5HJIc3hcSgpWBYK2+Z5hfd1uGDdMJloAQ\nrAwE68bCYr8WWoqLESwEK0pGwMoPjldtuFd3UyggBCsDwbI3Vq4t3afqcGVYaDKjprQnY2gy\nO1vd+VK+x6odbsmxZI85bipYcQhNphdHe1zsocmMmtKejKHJ7Gx150sZmjxl0O7qnENDHkv2\nppBeHO1x2BSq1WNNYe4Ge3WOfbPuN+8iQrAyEKycLQGwKnojWAiWRkbAGj2ytjrnVMFI3WAp\nw5Cbn59YsOiCZMasyQhWioFVNWBSda8+ffboBksZhvxM0dFTT070mTFrMoKVYmDZT+6pXVJW\nq/t1gzIM2Wc7EvgIXaVr1mTO9UWwUg0srXSHJp+f5fVX0ritumZNRrCE8qU9LknBui4kvWBF\nz5os/dF2WtesyYwMw2ZtvCyGJqsV99BkqLqUoclb/CqbN6hCL1jRsyZX5K3WN2syI8Ow2exY\n255USmVLG5rcrVk2g3es0KzJ536dv71L36zJjAzDZm00LYYmq9VjocndKs/X38dShCGfuK9E\n/kIc46zJjAzDZm1+sI+lVsp23pVhyJcfXBvMiK5ZkxEsoXxpj0tTsJShyUdtHwQGVX+la9bk\ndARLNGkEiyJFaPK73cvK7dA1a7IhsESvIIIVpSQGS0AIFifptATrk9ftDbUIlsAVRLDY2dKC\nVfmfg+zVlpuGFhY3IFixO5aFYKnBGn7vYXtD3uiS0ZY608AKhSYzsiQQ8soN1OWcHJGO0GTB\nlKkRwiaWGHYsixqaLJq0kdDkH633/7Oxv/1tM8Gyc4NauRHCeqzaOF4docmCKVMjhJOgxNTQ\nZNEyGQlNzt3i/2fDDaaCFWoKGVkKHQRbk7UpNFKmHnNsWtLKpnBC3if22rtHI1hmODZiTXWw\nagZe/5Mf5u6zv52dvmCh4wQlrQ70e+m3zxl53aAMTQ5v02dNTsq6yETHiQFLK/2hyeFt+qzJ\nSVkXmeg4JcBShiaHtxmzJidlXWSi45QASxmaHN5mzJqclHWRiY5TAixlaHJ4mzFrMiNLAiGv\n3EBdI0lnnmPTkt4XR7CUocnhbcasyYwsCYS8Ms0i8bLoOGFJa0OTDd+xqpXbqTVrstKxG0o6\nwaHJCscEsiY4NFlWk8axNjTZSB9LDk0Ob6fWrMmykmv1L1luAlmTdGUKo2ApQ5PD25pZk+/4\nmVqDB/8MEmw2ZjUxachqapmSxvFt1p/cDklvaHJkO2rW5AXDo/Qz65DoXQr90noHYB1+80DI\nOsh6D2C9y/pzwDrMehuU9C03Q9bbrXcD1iHWOwHrvdZBUNI/GQBZ77D+ErD+wjoYOtn6E8j6\nf602wHqn9ioO/QWU3PDhZTGApZw1ObwdNWuyRq9aq4EUT1r/ADm8YzRknWu9CFjftm4HrOet\nC6GkbUMg6xLrGcC6x7oBsDZZp0NJj78Vsq6y1gLWw9YXoJMHTISs06xQO7re+gF0Mqj4fCvU\nCMFSC8GKkxAstRCsOOnoqj8D1q9WQdhJL0GXSNq5CnqkrF/VAFg9q3ZDSa9/BbJ+sMoBWD9d\ndQywtq3aBiW9eQ1k/XjVXwDr+VU10MmryyHru6ugp/faVWehk0GZBBYq04VgoUwRgoUyRekF\nluf1RY8uKP2qp7OBSjWwFn0Jmg8UPLhs/YqiUXsSlB0UW6kFlq0Rsp4fVRr4yNTx5ojPE5Qf\nIXF+DWkqM8H6HHx3o0cwWMue7P6i2rXomXg7NiI40+kqM8FqtMU7RdsHn4VFsT6yN7TxwSPx\ndmxEyQqWuXfSFANLFsV6f/gFde398XZsRPCvoedkLvBJB1YXFG1lqzoXFsU6963QxttzKVY5\nLgn6MsPSpb1/9CcxewMY+0QX/GuIh7yMUDA40zBY585BVc1XD4AFodOysmDkk//DNMN1UT62\nO17O8+BGinXsR91/OzbkUawceWaO2ClJbc8WFNKCEOGLAP8ajKl2zfrPulbabCW0AEY405w7\nqdGfgwlgrQvrWVqWYHTW5r+xdfIMZlQjDFbnrIl7PV3ej4qm0T6ArbYtC0RxfvbYyM0UK0cv\nTOl+OeZ89HlatsCLINbkMO46cEdon23GEwXrij7+qHAlxQpnmpPricMf337+YlBwxhkyAaxf\nyaJYYXQmbZekBhuzKEsugJ6bXxxuG2WzPUsPbT7x8Piajo0j5sNp0FVYGdrYW0SxwheBBxZ4\n14FPnlbaJX1g89+K9z8Yc6Y5d9Ku068W5i/7CAr0BpXw91gwOrZT/p6BjdcJamWGGLrrKv/E\njB+/tD5vwpg9UJA3U/l1oY06WkgPfBE4vwb4rgODNcKfrWbbp5J0mnbTgTPNv5N2nVn/6Kil\n1Tq6lZJJYEG9KBidQGE7AbDsz38qXX7aNuo1IHqVqSvbRuc9CkXVsDVnR2hj+yz6AcBF2AiO\nlODcdTgdoXB1UbuznEyLNNFd5zZOHMk/jCITwIJ7UTA6HLBOjlhwXtoyqrKygBpXBT8FfTbr\nvndcz9heZP0CL7yxbP7yDX+l2jY81P1Q2TT5VVbeJNZFCJZpVvQ4pojguw6/+8YGi5Npzp00\nqL+8NXP4Av5hFJkAFtyL4oA1d9Gip2zzFvlFM/92tT/ZqS9I0luzKVb4Kagsb06gI/zRuEmH\naUl3vTy8sGRVSWHeq7ScX547oeKM68+7Jk9ldzpYF4HzY4HhgDtCtmfXrSuzrWA8J3EyzX2h\n8OXm6Xm/fd/DyjgsE8Di9KJAdH4vi3by+HpJcgUuwrGxFCv8FDSqoruB9vye+vy8a0R1gKgr\n+/MqaeaWN+/33zRGvMgapQdcBGNgge3Vo7JizzR8Mzy/6bERxXvA0ZCgTAAL7kVx0IGV70+1\naowfkKMFFCv8FBQJ7+06QLFKs9eHNspob1f9T/2df607x4jjhS8CDyzwrmPw9TiQad6zrG3e\nO7u7pcuzGWBxOuCwwJCqGe9I0sIl/o03ZlKs8FPQYWg4sSTd96fQxtFRFCt8feGLwKkP+K6z\n5EKHr2tXUGz/jKdkzlMD/Cz7oCwwFZYSDhbnywocUrV35Lo1tgNS24F8WjXDT0G2guf+BDxL\nRtDR0SLBF8H2xJIlJYF/liyBEmGoeuxHnbaikbZfldKs4FMy56lBMvhCAZYZYIG9KPjLCiek\nqmv71PH+zvXvbWtpFQk/BV14e7btgVWfsNjigGXgQ7Jo40+NMjphe8nr/5Ve3jCD1qLBT8lC\nTQf7hYKxcFwTwIIrEv6yIhZSdZ7eneE+upEdC/LGrTlBfctmWxDK84LYn/o5n84FRSW6+OkQ\nHE+XUazwU7IQWMwXCgbDcRMfQQp+WeGGVIE/I96jm19Ne0tGjKcZlsiiWOGnfs6n826xPxeE\nRAXrwYMhOA7MoFjhp2Q+WMCzrNFwXDPB8tD7m9CXFV5IFe9nBD0FBeXYPtc2GTqALriPxfl0\nLvi5gApWgb9Cunz+E4/mU6zwUzIHLPhZ1mg4rmlgefcszKM3G9CXFTikSuxnxL41uHY8bhu7\npl7H10IYLPjNHedzQURUsOaHOwybaA8k8FMy56kBfpY1Go5rDlgtHy4aYZuwnvp5BPyyAodU\n8X5G4K3BvWv+8PzlR1nUbZVFscKfP+A3d3BHiBNltLWgu4n925jXKVb4KZnz1AA/yxoNxzUB\nrLYDS++zTX5x+DmqFf6yAodUcX5G8K1h+IiSA+2U/SGNDchWEPiXfRBDcJsDd4Q4UUZXFoyt\n+KLly53jqRUCPyUbEqft4MoEsEbbZm36rEvKO0e1cr6swCFV8M8IvjXsbubkG4JjsyyKFQYL\n7gjx1LbBXx224c9DH1cYT8lvHgd+SDwzp+3gyoz3WKP+cNCfZQZYnC8rcEgV/DPi3Br4YsMx\nPaRH6UEG4Js7uCMUFqNnuOhLqf2zg426XmGOsI2Y9/ox5ldz2MxpO7gyAay/vTPDNvrpA4ym\nMCLGMyMo+GfEuTXwx0NwX/rUPTJ2H2U33JmBO0ICb8/Zeqtb79ZRX6NdOl3x9GRb3uyyo9Qi\nc8xw28GVOZ33Lzf6f9pPHmE3/MxnRvjqwz8j+NbAGVoQTB4Gy/OsbSU46zJdnI4Q/+05W6G+\nd4HtN8wpmx0fvzrdNpyZAtPsjrQd+r76mvW6oets2WTbJLoNeGbkXX3wZwTfGjhDCwICwera\n/cC0k3TTiZDOQ11oRkeI9/Zc5FtS15kJrI7QlTNvLRgxqph1JttsaFCTZOoL0q5Tayl74WdG\n/tUHumDwrYEztGCtXy/Yng78oSZ+bt6oLax53iOfex6ljanhBNRx3p6LjcLaTnuilMjeZWNt\nM8rqGL0k0GxoUJPUA2/e4WdGztUXEuPWwBlaMFsWxdq+fkQx+5tNaK2Qi/VP0KY45bDBeXsu\nNijxOC3WZ6ptwooq9uctjtnIoCapB968w8+MnKtvZEAydzwEpELbb3bt4oVF+fvhtLcgnBF6\nnLfnYoF+Bx6i7Jxg+/WrtexQao7ZyKAmqQfevMPPjJyrz+mCgdiJjIdgapIs6LDdtM+QnBF6\ncM9QDKxLjy+jOf5i++L8EfM3n6Z3/ThmI4OapB548y6Bz4ycqw93wWDsRMZDGNPWGTbGfM9Q\nQB3cM4S/Ja3q1rNTClgDpjsbNj4+4v4SVgKAmTeoiaOEv3kPivnMyLn6cBeM0/MXCKoxpg1P\nV7IbDt4IPdZDI6j53Vr4Mjscz3OobAbwuoFp5gxq4irhb97Doj8zcq4+3AXj9vy5QTVMwR/0\nRKR/hJ5uXfl81/8rsg2fUVpDffsGmzmf3rjquTfvLEFXH+6C8Xr+BrROlp7TDY3Q0618PzWv\nHGZ+IoXN3E9vHPXQm3edgrtghp77zJPREXq69ephcFlIjtmgeuLNu37BXTBDz33myegIvdRU\nwt+8GxPYBTP/uU+XjI7QS02l1nTcEtwFM/25DyWslAMLlv7nPlR8lWZgoZJFCBbKFCFYKFOE\nYKFMEYKFMkUIFsoUIVgoU4RgoUzR/wfjkBdeYl9SaAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(centers, aes(x=Symbol, y=Mean, fill=Color)) +\n",
    "  geom_bar(stat='identity', position = \"identity\", width=.75) + \n",
    "  facet_grid(Cluster ~ ., scales='free_y') +\n",
    "  guides(fill=FALSE)  +\n",
    "  ylab('Component Loading') +\n",
    "  theme_bw() +\n",
    "  theme(axis.title.x = element_blank(),\n",
    "        axis.text.x  = element_text(angle=90, vjust=0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:56:36.070304Z",
     "start_time": "2019-04-29T03:56:20.713Z"
    }
   },
   "outputs": [],
   "source": [
    "pct_var <- data.frame(pct_var = 0,\n",
    "                      num_clusters=2:14)\n",
    "totalss <- kmeans(df, centers=14, nstart=50, iter.max = 100)$totss\n",
    "for(i in 2:14){\n",
    "  pct_var[i-1, 'pct_var'] <- kmeans(df, centers=i, \n",
    "                                    nstart=50, iter.max = 100)$betweenss/totalss\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T03:56:40.966878Z",
     "start_time": "2019-04-29T03:56:40.730Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAADAFBMVEUAAAABAQECAgIDAwME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\nf9c/OEcEXRxVAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(pct_var, aes(x=num_clusters, y=pct_var)) +\n",
    "  geom_line() +\n",
    "  geom_point() +\n",
    "  labs(y='% Variance Explained', x='Number of Clusters') +\n",
    "  scale_x_continuous(breaks=seq(2, 14, by=2))   +\n",
    "  theme_bw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:01:45.049551Z",
     "start_time": "2019-04-29T04:01:44.988Z"
    }
   },
   "outputs": [],
   "source": [
    "syms1 <- c('GOOGL', 'AMZN', 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', \n",
    "           'XOM', 'SLB', 'COP', 'JPM', 'WFC', 'USB', 'AXP',\n",
    "           'WMT', 'TGT', 'HD', 'COST')\n",
    "\n",
    "df <- sp500_px[row.names(sp500_px)>='2011-01-01', syms1]\n",
    "d <- dist(t(df))\n",
    "hcl <- hclust(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:01:55.338899Z",
     "start_time": "2019-04-29T04:01:55.243Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAAC91BMVEUAAAABAQECAgIDAwME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\ngCrW3Ylsn4cAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "par(cex=.75, mar=c(0, 5, 0, 0)+.1)\n",
    "plot(hcl, ylab='distance', xlab='', sub='', main='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:02:35.643941Z",
     "start_time": "2019-04-29T04:02:35.614Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>GOOGL</dt>\n",
       "\t\t<dd>1</dd>\n",
       "\t<dt>AMZN</dt>\n",
       "\t\t<dd>2</dd>\n",
       "\t<dt>AAPL</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>MSFT</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>CSCO</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>INTC</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>CVX</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>XOM</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>SLB</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>COP</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>JPM</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>WFC</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>USB</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>AXP</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>WMT</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>TGT</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>HD</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>COST</dt>\n",
       "\t\t<dd>3</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[GOOGL] 1\n",
       "\\item[AMZN] 2\n",
       "\\item[AAPL] 3\n",
       "\\item[MSFT] 3\n",
       "\\item[CSCO] 3\n",
       "\\item[INTC] 3\n",
       "\\item[CVX] 4\n",
       "\\item[XOM] 4\n",
       "\\item[SLB] 4\n",
       "\\item[COP] 4\n",
       "\\item[JPM] 3\n",
       "\\item[WFC] 3\n",
       "\\item[USB] 3\n",
       "\\item[AXP] 3\n",
       "\\item[WMT] 3\n",
       "\\item[TGT] 3\n",
       "\\item[HD] 3\n",
       "\\item[COST] 3\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "GOOGL\n",
       ":   1AMZN\n",
       ":   2AAPL\n",
       ":   3MSFT\n",
       ":   3CSCO\n",
       ":   3INTC\n",
       ":   3CVX\n",
       ":   4XOM\n",
       ":   4SLB\n",
       ":   4COP\n",
       ":   4JPM\n",
       ":   3WFC\n",
       ":   3USB\n",
       ":   3AXP\n",
       ":   3WMT\n",
       ":   3TGT\n",
       ":   3HD\n",
       ":   3COST\n",
       ":   3\n",
       "\n"
      ],
      "text/plain": [
       "GOOGL  AMZN  AAPL  MSFT  CSCO  INTC   CVX   XOM   SLB   COP   JPM   WFC   USB \n",
       "    1     2     3     3     3     3     4     4     4     4     3     3     3 \n",
       "  AXP   WMT   TGT    HD  COST \n",
       "    3     3     3     3     3 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cutree(hcl, k=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model-Based Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:05:28.704661Z",
     "start_time": "2019-04-29T04:04:33.503Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "---------------------------------------------------- \n",
       "Gaussian finite mixture model fitted by EM algorithm \n",
       "---------------------------------------------------- \n",
       "\n",
       "Mclust VVE (ellipsoidal, equal orientation) model with 4 components: \n",
       "\n",
       " log-likelihood    n df       BIC       ICL\n",
       "      -5627.033 4520 20 -11422.39 -14948.11\n",
       "\n",
       "Clustering table:\n",
       "   1    2    3    4 \n",
       "2085 1170 1178   87 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(mclust)\n",
    "df <- sp500_px[row.names(sp500_px)>='2011-01-01', c('XOM', 'CVX')]\n",
    "mcl <- Mclust(df)\n",
    "summary(mcl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:10:40.548330Z",
     "start_time": "2019-04-29T04:10:40.023Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAIAAAD2dYQOAAAACXBIWXMAABJ0AAASdAHeZh94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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster <- factor(predict(mcl)$classification)\n",
    "ggplot(data=df, aes(x=XOM, y=CVX, color=cluster, shape=cluster)) +\n",
    "  geom_point(alpha=.8) +\n",
    "  theme_bw() +\n",
    "  scale_shape_manual(values = c(3, 6, 17, 1),\n",
    "                     guide = guide_legend(override.aes=aes(size=2))) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:13:20.172587Z",
     "start_time": "2019-04-29T04:13:20.121Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "---------------------------------------------------- \n",
       "Gaussian finite mixture model fitted by EM algorithm \n",
       "---------------------------------------------------- \n",
       "\n",
       "Mclust VVE (ellipsoidal, equal orientation) model with 4 components: \n",
       "\n",
       " log-likelihood    n df       BIC       ICL\n",
       "      -5627.033 4520 20 -11422.39 -14948.11\n",
       "\n",
       "Clustering table:\n",
       "   1    2    3    4 \n",
       "2085 1170 1178   87 \n",
       "\n",
       "Mixing probabilities:\n",
       "         1          2          3          4 \n",
       "0.42102839 0.32414239 0.21427623 0.04055299 \n",
       "\n",
       "Means:\n",
       "          [,1]        [,2]        [,3]        [,4]\n",
       "XOM 0.03404058 0.004380928 0.012961411  0.07263227\n",
       "CVX 0.02513265 0.008874133 0.008216287 -0.20915473\n",
       "\n",
       "Variances:\n",
       "[,,1]\n",
       "          XOM       CVX\n",
       "XOM 0.1600320 0.1336138\n",
       "CVX 0.1336138 0.1917168\n",
       "[,,2]\n",
       "          XOM       CVX\n",
       "XOM 0.6895853 0.5852195\n",
       "CVX 0.5852195 0.8283625\n",
       "[,,3]\n",
       "            XOM         CVX\n",
       "XOM 0.012788757 0.006407938\n",
       "CVX 0.006407938 0.014308316\n",
       "[,,4]\n",
       "         XOM      CVX\n",
       "XOM 4.027796 3.864467\n",
       "CVX 3.864467 4.944204"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(mcl, parameters=TRUE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:13:58.880446Z",
     "start_time": "2019-04-29T04:13:58.774Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAALQCAIAAAA2NdDLAAAACXBIWXMAABJ0AAASdAHeZh94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\nDgAAABDc/wMFgeF1ofFsUwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=6)\n",
    "plot(mcl, what='BIC', ask=FALSE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Scaling and Categorical Variables"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Scaling the variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:26:13.490707Z",
     "start_time": "2019-04-29T04:26:12.082Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>size</th><th scope=col>loan_amnt</th><th scope=col>annual_inc</th><th scope=col>revol_bal</th><th scope=col>open_acc</th><th scope=col>dti</th><th scope=col>revol_util</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td> 1221    </td><td>21797.26 </td><td>164503.32</td><td>38652.54 </td><td>12.61    </td><td>13.53    </td><td>63.65    </td></tr>\n",
       "\t<tr><td>13819    </td><td>10577.04 </td><td> 42380.98</td><td>10245.27 </td><td> 9.58    </td><td>17.71    </td><td>58.09    </td></tr>\n",
       "\t<tr><td> 7579    </td><td>18247.71 </td><td> 83069.61</td><td>19587.30 </td><td>11.66    </td><td>16.79    </td><td>62.26    </td></tr>\n",
       "\t<tr><td>   52    </td><td>22570.19 </td><td>489783.40</td><td>85161.35 </td><td>13.33    </td><td> 6.91    </td><td>59.65    </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllll}\n",
       " size & loan\\_amnt & annual\\_inc & revol\\_bal & open\\_acc & dti & revol\\_util\\\\\n",
       "\\hline\n",
       "\t  1221     & 21797.26  & 164503.32 & 38652.54  & 12.61     & 13.53     & 63.65    \\\\\n",
       "\t 13819     & 10577.04  &  42380.98 & 10245.27  &  9.58     & 17.71     & 58.09    \\\\\n",
       "\t  7579     & 18247.71  &  83069.61 & 19587.30  & 11.66     & 16.79     & 62.26    \\\\\n",
       "\t    52     & 22570.19  & 489783.40 & 85161.35  & 13.33     &  6.91     & 59.65    \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| size | loan_amnt | annual_inc | revol_bal | open_acc | dti | revol_util |\n",
       "|---|---|---|---|---|---|---|\n",
       "|  1221     | 21797.26  | 164503.32 | 38652.54  | 12.61     | 13.53     | 63.65     |\n",
       "| 13819     | 10577.04  |  42380.98 | 10245.27  |  9.58     | 17.71     | 58.09     |\n",
       "|  7579     | 18247.71  |  83069.61 | 19587.30  | 11.66     | 16.79     | 62.26     |\n",
       "|    52     | 22570.19  | 489783.40 | 85161.35  | 13.33     |  6.91     | 59.65     |\n",
       "\n"
      ],
      "text/plain": [
       "  size  loan_amnt annual_inc revol_bal open_acc dti   revol_util\n",
       "1  1221 21797.26  164503.32  38652.54  12.61    13.53 63.65     \n",
       "2 13819 10577.04   42380.98  10245.27   9.58    17.71 58.09     \n",
       "3  7579 18247.71   83069.61  19587.30  11.66    16.79 62.26     \n",
       "4    52 22570.19  489783.40  85161.35  13.33     6.91 59.65     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_data <- read.csv('../psds_data/loan_data.csv')\n",
    "defaults <- loan_data[loan_data$outcome=='default',]\n",
    "df <- defaults[, c('loan_amnt', 'annual_inc', 'revol_bal', 'open_acc', 'dti', 'revol_util')]\n",
    "km <- kmeans(df, centers=4, nstart=10)\n",
    "centers <- data.frame(size=km$size, km$centers) \n",
    "round(centers, digits=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:26:54.715556Z",
     "start_time": "2019-04-29T04:26:54.103Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>size</th><th scope=col>loan_amnt</th><th scope=col>annual_inc</th><th scope=col>revol_bal</th><th scope=col>open_acc</th><th scope=col>dti</th><th scope=col>revol_util</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>7352     </td><td>10469.59 </td><td> 51133.67</td><td>11525.60 </td><td> 7.47    </td><td>15.79    </td><td>77.73    </td></tr>\n",
       "\t<tr><td>3714     </td><td>25892.49 </td><td>116181.28</td><td>32800.82 </td><td>12.41    </td><td>16.22    </td><td>66.15    </td></tr>\n",
       "\t<tr><td>6295     </td><td>13360.69 </td><td> 55586.28</td><td>16367.36 </td><td>14.24    </td><td>24.23    </td><td>59.60    </td></tr>\n",
       "\t<tr><td>5310     </td><td>10359.51 </td><td> 53526.74</td><td> 6038.37 </td><td> 8.68    </td><td>11.31    </td><td>30.72    </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllll}\n",
       " size & loan\\_amnt & annual\\_inc & revol\\_bal & open\\_acc & dti & revol\\_util\\\\\n",
       "\\hline\n",
       "\t 7352      & 10469.59  &  51133.67 & 11525.60  &  7.47     & 15.79     & 77.73    \\\\\n",
       "\t 3714      & 25892.49  & 116181.28 & 32800.82  & 12.41     & 16.22     & 66.15    \\\\\n",
       "\t 6295      & 13360.69  &  55586.28 & 16367.36  & 14.24     & 24.23     & 59.60    \\\\\n",
       "\t 5310      & 10359.51  &  53526.74 &  6038.37  &  8.68     & 11.31     & 30.72    \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| size | loan_amnt | annual_inc | revol_bal | open_acc | dti | revol_util |\n",
       "|---|---|---|---|---|---|---|\n",
       "| 7352      | 10469.59  |  51133.67 | 11525.60  |  7.47     | 15.79     | 77.73     |\n",
       "| 3714      | 25892.49  | 116181.28 | 32800.82  | 12.41     | 16.22     | 66.15     |\n",
       "| 6295      | 13360.69  |  55586.28 | 16367.36  | 14.24     | 24.23     | 59.60     |\n",
       "| 5310      | 10359.51  |  53526.74 |  6038.37  |  8.68     | 11.31     | 30.72     |\n",
       "\n"
      ],
      "text/plain": [
       "  size loan_amnt annual_inc revol_bal open_acc dti   revol_util\n",
       "1 7352 10469.59   51133.67  11525.60   7.47    15.79 77.73     \n",
       "2 3714 25892.49  116181.28  32800.82  12.41    16.22 66.15     \n",
       "3 6295 13360.69   55586.28  16367.36  14.24    24.23 59.60     \n",
       "4 5310 10359.51   53526.74   6038.37   8.68    11.31 30.72     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df0 <- scale(df)\n",
    "km0 <- kmeans(df0, centers=4, nstart=10)\n",
    "centers0 <- scale(km0$centers, center=FALSE, scale=1/attr(df0, 'scaled:scale'))\n",
    "centers0 <- scale(centers0, center=-attr(df0, 'scaled:center'), scale=FALSE)\n",
    "centers0 <- data.frame(size=km0$size, centers0) \n",
    "round(centers0, digits=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Dominant Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:28:37.955407Z",
     "start_time": "2019-04-29T04:28:37.910Z"
    }
   },
   "outputs": [],
   "source": [
    "syms <- c('GOOGL', 'AMZN', 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', \n",
    "          'SLB', 'COP', 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST')\n",
    "top_15 <- sp500_px[row.names(sp500_px)>='2011-01-01', syms]\n",
    "sp_pca1 <- princomp(top_15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:29:04.448156Z",
     "start_time": "2019-04-29T04:29:04.384Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAAC31BMVEUAAAABAQECAgIDAwMF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\ngrBg4v8BAPnJpzercf4AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=5, repr.plot.height=4)\n",
    "par(mar=c(6,3,0,0)+.1, las=2)\n",
    "screeplot(sp_pca1, main='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:28:47.579747Z",
     "start_time": "2019-04-29T04:28:47.530Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Comp.1</th><th scope=col>Comp.2</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>GOOGL</th><td>0.854 </td><td> 0.487</td></tr>\n",
       "\t<tr><th scope=row>AMZN</th><td>0.448 </td><td>-0.867</td></tr>\n",
       "\t<tr><th scope=row>AAPL</th><td>0.071 </td><td>-0.020</td></tr>\n",
       "\t<tr><th scope=row>MSFT</th><td>0.037 </td><td>-0.013</td></tr>\n",
       "\t<tr><th scope=row>CSCO</th><td>0.031 </td><td>-0.013</td></tr>\n",
       "\t<tr><th scope=row>INTC</th><td>0.029 </td><td>-0.016</td></tr>\n",
       "\t<tr><th scope=row>CVX</th><td>0.090 </td><td>-0.041</td></tr>\n",
       "\t<tr><th scope=row>XOM</th><td>0.081 </td><td>-0.026</td></tr>\n",
       "\t<tr><th scope=row>SLB</th><td>0.111 </td><td>-0.034</td></tr>\n",
       "\t<tr><th scope=row>COP</th><td>0.058 </td><td>-0.026</td></tr>\n",
       "\t<tr><th scope=row>JPM</th><td>0.073 </td><td>-0.018</td></tr>\n",
       "\t<tr><th scope=row>WFC</th><td>0.054 </td><td>-0.012</td></tr>\n",
       "\t<tr><th scope=row>USB</th><td>0.042 </td><td>-0.010</td></tr>\n",
       "\t<tr><th scope=row>AXP</th><td>0.081 </td><td>-0.033</td></tr>\n",
       "\t<tr><th scope=row>WMT</th><td>0.043 </td><td>-0.017</td></tr>\n",
       "\t<tr><th scope=row>TGT</th><td>0.066 </td><td>-0.035</td></tr>\n",
       "\t<tr><th scope=row>HD</th><td>0.054 </td><td>-0.041</td></tr>\n",
       "\t<tr><th scope=row>COST</th><td>0.073 </td><td>-0.042</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & Comp.1 & Comp.2\\\\\n",
       "\\hline\n",
       "\tGOOGL & 0.854  &  0.487\\\\\n",
       "\tAMZN & 0.448  & -0.867\\\\\n",
       "\tAAPL & 0.071  & -0.020\\\\\n",
       "\tMSFT & 0.037  & -0.013\\\\\n",
       "\tCSCO & 0.031  & -0.013\\\\\n",
       "\tINTC & 0.029  & -0.016\\\\\n",
       "\tCVX & 0.090  & -0.041\\\\\n",
       "\tXOM & 0.081  & -0.026\\\\\n",
       "\tSLB & 0.111  & -0.034\\\\\n",
       "\tCOP & 0.058  & -0.026\\\\\n",
       "\tJPM & 0.073  & -0.018\\\\\n",
       "\tWFC & 0.054  & -0.012\\\\\n",
       "\tUSB & 0.042  & -0.010\\\\\n",
       "\tAXP & 0.081  & -0.033\\\\\n",
       "\tWMT & 0.043  & -0.017\\\\\n",
       "\tTGT & 0.066  & -0.035\\\\\n",
       "\tHD & 0.054  & -0.041\\\\\n",
       "\tCOST & 0.073  & -0.042\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Comp.1 | Comp.2 |\n",
       "|---|---|---|\n",
       "| GOOGL | 0.854  |  0.487 |\n",
       "| AMZN | 0.448  | -0.867 |\n",
       "| AAPL | 0.071  | -0.020 |\n",
       "| MSFT | 0.037  | -0.013 |\n",
       "| CSCO | 0.031  | -0.013 |\n",
       "| INTC | 0.029  | -0.016 |\n",
       "| CVX | 0.090  | -0.041 |\n",
       "| XOM | 0.081  | -0.026 |\n",
       "| SLB | 0.111  | -0.034 |\n",
       "| COP | 0.058  | -0.026 |\n",
       "| JPM | 0.073  | -0.018 |\n",
       "| WFC | 0.054  | -0.012 |\n",
       "| USB | 0.042  | -0.010 |\n",
       "| AXP | 0.081  | -0.033 |\n",
       "| WMT | 0.043  | -0.017 |\n",
       "| TGT | 0.066  | -0.035 |\n",
       "| HD | 0.054  | -0.041 |\n",
       "| COST | 0.073  | -0.042 |\n",
       "\n"
      ],
      "text/plain": [
       "      Comp.1 Comp.2\n",
       "GOOGL 0.854   0.487\n",
       "AMZN  0.448  -0.867\n",
       "AAPL  0.071  -0.020\n",
       "MSFT  0.037  -0.013\n",
       "CSCO  0.031  -0.013\n",
       "INTC  0.029  -0.016\n",
       "CVX   0.090  -0.041\n",
       "XOM   0.081  -0.026\n",
       "SLB   0.111  -0.034\n",
       "COP   0.058  -0.026\n",
       "JPM   0.073  -0.018\n",
       "WFC   0.054  -0.012\n",
       "USB   0.042  -0.010\n",
       "AXP   0.081  -0.033\n",
       "WMT   0.043  -0.017\n",
       "TGT   0.066  -0.035\n",
       "HD    0.054  -0.041\n",
       "COST  0.073  -0.042"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "round(sp_pca1$loadings[,1:2], 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Categorical Data and Grower's Distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:29:49.928945Z",
     "start_time": "2019-04-29T04:29:49.882Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>dti</th><th scope=col>payment_inc_ratio</th><th scope=col>home_</th><th scope=col>purpose_</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td> 1.00             </td><td> 2.39320          </td><td>RENT              </td><td>major_purchase    </td></tr>\n",
       "\t<tr><td> 5.55             </td><td> 4.57170          </td><td>OWN               </td><td>small_business    </td></tr>\n",
       "\t<tr><td>18.08             </td><td> 9.71600          </td><td>RENT              </td><td>other             </td></tr>\n",
       "\t<tr><td>10.08             </td><td>12.21520          </td><td>RENT              </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><td> 7.06             </td><td> 3.90888          </td><td>RENT              </td><td>other             </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       " dti & payment\\_inc\\_ratio & home\\_ & purpose\\_\\\\\n",
       "\\hline\n",
       "\t  1.00                &  2.39320             & RENT                 & major\\_purchase    \\\\\n",
       "\t  5.55                &  4.57170             & OWN                  & small\\_business    \\\\\n",
       "\t 18.08              &  9.71600           & RENT               & other             \\\\\n",
       "\t 10.08                & 12.21520             & RENT                 & debt\\_consolidation\\\\\n",
       "\t  7.06              &  3.90888           & RENT               & other             \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| dti | payment_inc_ratio | home_ | purpose_ |\n",
       "|---|---|---|---|\n",
       "|  1.00              |  2.39320           | RENT               | major_purchase     |\n",
       "|  5.55              |  4.57170           | OWN                | small_business     |\n",
       "| 18.08              |  9.71600           | RENT               | other              |\n",
       "| 10.08              | 12.21520           | RENT               | debt_consolidation |\n",
       "|  7.06              |  3.90888           | RENT               | other              |\n",
       "\n"
      ],
      "text/plain": [
       "  dti   payment_inc_ratio home_ purpose_          \n",
       "1  1.00  2.39320          RENT  major_purchase    \n",
       "2  5.55  4.57170          OWN   small_business    \n",
       "3 18.08  9.71600          RENT  other             \n",
       "4 10.08 12.21520          RENT  debt_consolidation\n",
       "5  7.06  3.90888          RENT  other             "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x <- loan_data[1:5, c('dti', 'payment_inc_ratio', 'home_', 'purpose_')]\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:30:19.212066Z",
     "start_time": "2019-04-29T04:30:19.154Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dissimilarities :\n",
       "          1         2         3         4\n",
       "2 0.6220479                              \n",
       "3 0.6863877 0.8143398                    \n",
       "4 0.6329040 0.7608561 0.4307083          \n",
       "5 0.3772789 0.5389727 0.3091088 0.5056250\n",
       "\n",
       "Metric :  mixed ;  Types = I, I, N, N \n",
       "Number of objects : 5"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(cluster)\n",
    "daisy(x, metric='gower')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:30:58.203283Z",
     "start_time": "2019-04-29T04:30:58.153Z"
    }
   },
   "outputs": [],
   "source": [
    "set.seed(301)\n",
    "df <- loan_data[sample(nrow(loan_data), 250),\n",
    "                c('dti', 'payment_inc_ratio', 'home_', 'purpose_')]\n",
    "d = daisy(df, metric='gower')\n",
    "hcl <- hclust(d)\n",
    "dnd <- as.dendrogram(hcl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:31:02.489706Z",
     "start_time": "2019-04-29T04:31:02.252Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHgCAMAAABOyeNrAAADAFBMVEUAAAABAQECAgIDAwME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\nQliYW0JYmFtCWJhb+n9deS8mhprwCQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "par(mar=c(0,5,0,0)+.1)\n",
    "plot(dnd, leaflab='none', ylab='distance')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:31:17.123452Z",
     "start_time": "2019-04-29T04:31:17.071Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>dti</th><th scope=col>payment_inc_ratio</th><th scope=col>home_</th><th scope=col>purpose_</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>7565</th><td>26.72             </td><td>10.29240          </td><td>OWN               </td><td>other             </td></tr>\n",
       "\t<tr><th scope=row>36140</th><td>20.16             </td><td>11.73840          </td><td>OWN               </td><td>other             </td></tr>\n",
       "\t<tr><th scope=row>20974</th><td>21.63             </td><td>16.12230          </td><td>OWN               </td><td>other             </td></tr>\n",
       "\t<tr><th scope=row>44532</th><td>21.22             </td><td> 8.37694          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>39826</th><td>22.59             </td><td> 6.22827          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>13282</th><td>31.00             </td><td> 9.64200          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>31510</th><td>26.21             </td><td>11.94380          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>6693</th><td>26.96             </td><td> 9.45600          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>7356</th><td>25.81             </td><td> 9.39257          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>9278</th><td>21.00             </td><td>14.71850          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>13520</th><td>29.00             </td><td>18.86670          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>14668</th><td>25.75             </td><td>17.53440          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>19975</th><td>22.70             </td><td>17.12170          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "\t<tr><th scope=row>23492</th><td>22.68             </td><td>18.50250          </td><td>OWN               </td><td>debt_consolidation</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       "  & dti & payment\\_inc\\_ratio & home\\_ & purpose\\_\\\\\n",
       "\\hline\n",
       "\t7565 & 26.72              & 10.29240           & OWN                & other             \\\\\n",
       "\t36140 & 20.16              & 11.73840           & OWN                & other             \\\\\n",
       "\t20974 & 21.63              & 16.12230           & OWN                & other             \\\\\n",
       "\t44532 & 21.22                &  8.37694             & OWN                  & debt\\_consolidation\\\\\n",
       "\t39826 & 22.59                &  6.22827             & OWN                  & debt\\_consolidation\\\\\n",
       "\t13282 & 31.00                &  9.64200             & OWN                  & debt\\_consolidation\\\\\n",
       "\t31510 & 26.21                & 11.94380             & OWN                  & debt\\_consolidation\\\\\n",
       "\t6693 & 26.96                &  9.45600             & OWN                  & debt\\_consolidation\\\\\n",
       "\t7356 & 25.81                &  9.39257             & OWN                  & debt\\_consolidation\\\\\n",
       "\t9278 & 21.00                & 14.71850             & OWN                  & debt\\_consolidation\\\\\n",
       "\t13520 & 29.00                & 18.86670             & OWN                  & debt\\_consolidation\\\\\n",
       "\t14668 & 25.75                & 17.53440             & OWN                  & debt\\_consolidation\\\\\n",
       "\t19975 & 22.70                & 17.12170             & OWN                  & debt\\_consolidation\\\\\n",
       "\t23492 & 22.68                & 18.50250             & OWN                  & debt\\_consolidation\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | dti | payment_inc_ratio | home_ | purpose_ |\n",
       "|---|---|---|---|---|\n",
       "| 7565 | 26.72              | 10.29240           | OWN                | other              |\n",
       "| 36140 | 20.16              | 11.73840           | OWN                | other              |\n",
       "| 20974 | 21.63              | 16.12230           | OWN                | other              |\n",
       "| 44532 | 21.22              |  8.37694           | OWN                | debt_consolidation |\n",
       "| 39826 | 22.59              |  6.22827           | OWN                | debt_consolidation |\n",
       "| 13282 | 31.00              |  9.64200           | OWN                | debt_consolidation |\n",
       "| 31510 | 26.21              | 11.94380           | OWN                | debt_consolidation |\n",
       "| 6693 | 26.96              |  9.45600           | OWN                | debt_consolidation |\n",
       "| 7356 | 25.81              |  9.39257           | OWN                | debt_consolidation |\n",
       "| 9278 | 21.00              | 14.71850           | OWN                | debt_consolidation |\n",
       "| 13520 | 29.00              | 18.86670           | OWN                | debt_consolidation |\n",
       "| 14668 | 25.75              | 17.53440           | OWN                | debt_consolidation |\n",
       "| 19975 | 22.70              | 17.12170           | OWN                | debt_consolidation |\n",
       "| 23492 | 22.68              | 18.50250           | OWN                | debt_consolidation |\n",
       "\n"
      ],
      "text/plain": [
       "      dti   payment_inc_ratio home_ purpose_          \n",
       "7565  26.72 10.29240          OWN   other             \n",
       "36140 20.16 11.73840          OWN   other             \n",
       "20974 21.63 16.12230          OWN   other             \n",
       "44532 21.22  8.37694          OWN   debt_consolidation\n",
       "39826 22.59  6.22827          OWN   debt_consolidation\n",
       "13282 31.00  9.64200          OWN   debt_consolidation\n",
       "31510 26.21 11.94380          OWN   debt_consolidation\n",
       "6693  26.96  9.45600          OWN   debt_consolidation\n",
       "7356  25.81  9.39257          OWN   debt_consolidation\n",
       "9278  21.00 14.71850          OWN   debt_consolidation\n",
       "13520 29.00 18.86670          OWN   debt_consolidation\n",
       "14668 25.75 17.53440          OWN   debt_consolidation\n",
       "19975 22.70 17.12170          OWN   debt_consolidation\n",
       "23492 22.68 18.50250          OWN   debt_consolidation"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dnd_cut <- cut(dnd, h=.5)\n",
    "df[labels(dnd_cut$lower[[1]]),]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-29T04:31:25.849364Z",
     "start_time": "2019-04-29T04:31:25.807Z"
    }
   },
   "source": [
    "##### Problems with Clustering Mixed Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R 3.5",
   "language": "R",
   "name": "ir35"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.3"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "273.2px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
